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Finding the Fourth Proportional to 1,708.13, 2,562.17 and 783.42

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Solution

The fourth proportional to 1,708.13, 2,562.17 and 783.42 is: 1,175.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,708.13 : 2,562.17 = 783.42 : x
  2. Step 2: Convert to fraction form
    1,708.13/2,562.17 = 783.42/x
  3. Step 3: Cross multiply
    1,708.13x = 2,562.17 × 783.42
  4. Step 4: Simplify right side
    1,708.13x = 2,007,255.22
  5. Step 5: Solve for x
    x = 2,007,255.22/1,708.13
  6. Step 6: Final answer
    x = 1,175.12

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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.