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Finding the Fourth Proportional to 2,412.52, 3,615.96 and 1,025.40

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Solution

The fourth proportional to 2,412.52, 3,615.96 and 1,025.40 is: 1,536.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,412.52 : 3,615.96 = 1,025.40 : x
  2. Step 2: Convert to fraction form
    2,412.52/3,615.96 = 1,025.40/x
  3. Step 3: Cross multiply
    2,412.52x = 3,615.96 × 1,025.40
  4. Step 4: Simplify right side
    2,412.52x = 3,707,805.38
  5. Step 5: Solve for x
    x = 3,707,805.38/2,412.52
  6. Step 6: Final answer
    x = 1,536.90

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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.