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Finding the Fourth Proportional to 2,165.60, 3,248.06 and 704.74

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Solution

The fourth proportional to 2,165.60, 3,248.06 and 704.74 is: 1,057.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,165.60 : 3,248.06 = 704.74 : x
  2. Step 2: Convert to fraction form
    2,165.60/3,248.06 = 704.74/x
  3. Step 3: Cross multiply
    2,165.60x = 3,248.06 × 704.74
  4. Step 4: Simplify right side
    2,165.60x = 2,289,026.16
  5. Step 5: Solve for x
    x = 2,289,026.16/2,165.60
  6. Step 6: Final answer
    x = 1,057.00

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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.