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Finding the Fourth Proportional to 1,708, 2,354.88 and 1,265.16

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Solution

The fourth proportional to 1,708, 2,354.88 and 1,265.16 is: 1,744.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,708 : 2,354.88 = 1,265.16 : x
  2. Step 2: Convert to fraction form
    1,708/2,354.88 = 1,265.16/x
  3. Step 3: Cross multiply
    1,708x = 2,354.88 × 1,265.16
  4. Step 4: Simplify right side
    1,708x = 2,979,299.98
  5. Step 5: Solve for x
    x = 2,979,299.98/1,708
  6. Step 6: Final answer
    x = 1,744.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.