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Finding the Fourth Proportional to 2,456.76, 3,684.18 and 1,532.76

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Solution

The fourth proportional to 2,456.76, 3,684.18 and 1,532.76 is: 2,298.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,456.76 : 3,684.18 = 1,532.76 : x
  2. Step 2: Convert to fraction form
    2,456.76/3,684.18 = 1,532.76/x
  3. Step 3: Cross multiply
    2,456.76x = 3,684.18 × 1,532.76
  4. Step 4: Simplify right side
    2,456.76x = 5,646,963.74
  5. Step 5: Solve for x
    x = 5,646,963.74/2,456.76
  6. Step 6: Final answer
    x = 2,298.54

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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.