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Finding the Fourth Proportional to 1,977.79, 2,966.43 and 881.91

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Solution

The fourth proportional to 1,977.79, 2,966.43 and 881.91 is: 1,322.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,977.79 : 2,966.43 = 881.91 : x
  2. Step 2: Convert to fraction form
    1,977.79/2,966.43 = 881.91/x
  3. Step 3: Cross multiply
    1,977.79x = 2,966.43 × 881.91
  4. Step 4: Simplify right side
    1,977.79x = 2,616,124.28
  5. Step 5: Solve for x
    x = 2,616,124.28/1,977.79
  6. Step 6: Final answer
    x = 1,322.75

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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.