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Finding the Fourth Proportional to 2,262.68, 3,385.47 and 1,528.62

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Solution

The fourth proportional to 2,262.68, 3,385.47 and 1,528.62 is: 2,287.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,262.68 : 3,385.47 = 1,528.62 : x
  2. Step 2: Convert to fraction form
    2,262.68/3,385.47 = 1,528.62/x
  3. Step 3: Cross multiply
    2,262.68x = 3,385.47 × 1,528.62
  4. Step 4: Simplify right side
    2,262.68x = 5,175,097.15
  5. Step 5: Solve for x
    x = 5,175,097.15/2,262.68
  6. Step 6: Final answer
    x = 2,287.15

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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.