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Finding the Fourth Proportional to 1,685.02, 2,524.96 and 862.16

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Solution

The fourth proportional to 1,685.02, 2,524.96 and 862.16 is: 1,291.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,685.02 : 2,524.96 = 862.16 : x
  2. Step 2: Convert to fraction form
    1,685.02/2,524.96 = 862.16/x
  3. Step 3: Cross multiply
    1,685.02x = 2,524.96 × 862.16
  4. Step 4: Simplify right side
    1,685.02x = 2,176,910.30
  5. Step 5: Solve for x
    x = 2,176,910.30/1,685.02
  6. Step 6: Final answer
    x = 1,291.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.