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Finding the Fourth Proportional to 1,532.89, 2,299.22 and 492.62

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Solution

The fourth proportional to 1,532.89, 2,299.22 and 492.62 is: 738.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,532.89 : 2,299.22 = 492.62 : x
  2. Step 2: Convert to fraction form
    1,532.89/2,299.22 = 492.62/x
  3. Step 3: Cross multiply
    1,532.89x = 2,299.22 × 492.62
  4. Step 4: Simplify right side
    1,532.89x = 1,132,641.76
  5. Step 5: Solve for x
    x = 1,132,641.76/1,532.89
  6. Step 6: Final answer
    x = 738.89

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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.