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Finding the Fourth Proportional to 1,966,851.60, 2,951,443.80 and 1,294,859.40

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Solution

The fourth proportional to 1,966,851.60, 2,951,443.80 and 1,294,859.40 is: 1,943,056.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,966,851.60 : 2,951,443.80 = 1,294,859.40 : x
  2. Step 2: Convert to fraction form
    1,966,851.60/2,951,443.80 = 1,294,859.40/x
  3. Step 3: Cross multiply
    1,966,851.60x = 2,951,443.80 × 1,294,859.40
  4. Step 4: Simplify right side
    1,966,851.60x = 3,821,704,748,001.72
  5. Step 5: Solve for x
    x = 3,821,704,748,001.72/1,966,851.60
  6. Step 6: Final answer
    x = 1,943,056.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.