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Finding the Fourth Proportional to 1,708.10, 2,560.17 and 978.17

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Solution

The fourth proportional to 1,708.10, 2,560.17 and 978.17 is: 1,466.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,708.10 : 2,560.17 = 978.17 : x
  2. Step 2: Convert to fraction form
    1,708.10/2,560.17 = 978.17/x
  3. Step 3: Cross multiply
    1,708.10x = 2,560.17 × 978.17
  4. Step 4: Simplify right side
    1,708.10x = 2,504,281.49
  5. Step 5: Solve for x
    x = 2,504,281.49/1,708.10
  6. Step 6: Final answer
    x = 1,466.12

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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.