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Finding the Fourth Proportional to 2,428.72, 3,636.60 and 2,282.65

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Solution

The fourth proportional to 2,428.72, 3,636.60 and 2,282.65 is: 3,417.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,428.72 : 3,636.60 = 2,282.65 : x
  2. Step 2: Convert to fraction form
    2,428.72/3,636.60 = 2,282.65/x
  3. Step 3: Cross multiply
    2,428.72x = 3,636.60 × 2,282.65
  4. Step 4: Simplify right side
    2,428.72x = 8,301,084.99
  5. Step 5: Solve for x
    x = 8,301,084.99/2,428.72
  6. Step 6: Final answer
    x = 3,417.88

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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.