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Finding the Fourth Proportional to 1,707.87, 2,562.88 and 978.87

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Solution

The fourth proportional to 1,707.87, 2,562.88 and 978.87 is: 1,468.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,707.87 : 2,562.88 = 978.87 : x
  2. Step 2: Convert to fraction form
    1,707.87/2,562.88 = 978.87/x
  3. Step 3: Cross multiply
    1,707.87x = 2,562.88 × 978.87
  4. Step 4: Simplify right side
    1,707.87x = 2,508,713.53
  5. Step 5: Solve for x
    x = 2,508,713.53/1,707.87
  6. Step 6: Final answer
    x = 1,468.92

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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.