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Finding the Fourth Proportional to 2,496.32, 3,432.48 and 2,255.76

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Solution

The fourth proportional to 2,496.32, 3,432.48 and 2,255.76 is: 3,101.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,496.32 : 3,432.48 = 2,255.76 : x
  2. Step 2: Convert to fraction form
    2,496.32/3,432.48 = 2,255.76/x
  3. Step 3: Cross multiply
    2,496.32x = 3,432.48 × 2,255.76
  4. Step 4: Simplify right side
    2,496.32x = 7,742,851.08
  5. Step 5: Solve for x
    x = 7,742,851.08/2,496.32
  6. Step 6: Final answer
    x = 3,101.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.