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Finding the Fourth Proportional to 2,532.70, 3,799.46 and 972.64

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Solution

The fourth proportional to 2,532.70, 3,799.46 and 972.64 is: 1,459.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,532.70 : 3,799.46 = 972.64 : x
  2. Step 2: Convert to fraction form
    2,532.70/3,799.46 = 972.64/x
  3. Step 3: Cross multiply
    2,532.70x = 3,799.46 × 972.64
  4. Step 4: Simplify right side
    2,532.70x = 3,695,506.77
  5. Step 5: Solve for x
    x = 3,695,506.77/2,532.70
  6. Step 6: Final answer
    x = 1,459.12

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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.