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Finding the Fourth Proportional to 1,706.86, 2,560.28 and 975.92

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Solution

The fourth proportional to 1,706.86, 2,560.28 and 975.92 is: 1,463.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,706.86 : 2,560.28 = 975.92 : x
  2. Step 2: Convert to fraction form
    1,706.86/2,560.28 = 975.92/x
  3. Step 3: Cross multiply
    1,706.86x = 2,560.28 × 975.92
  4. Step 4: Simplify right side
    1,706.86x = 2,498,610.78
  5. Step 5: Solve for x
    x = 2,498,610.78/1,706.86
  6. Step 6: Final answer
    x = 1,463.87

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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.