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Finding the Fourth Proportional to 1,685.32, 2,532.12 and 1,592.08

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Solution

The fourth proportional to 1,685.32, 2,532.12 and 1,592.08 is: 2,392.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,685.32 : 2,532.12 = 1,592.08 : x
  2. Step 2: Convert to fraction form
    1,685.32/2,532.12 = 1,592.08/x
  3. Step 3: Cross multiply
    1,685.32x = 2,532.12 × 1,592.08
  4. Step 4: Simplify right side
    1,685.32x = 4,031,337.61
  5. Step 5: Solve for x
    x = 4,031,337.61/1,685.32
  6. Step 6: Final answer
    x = 2,392.03

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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.