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Finding the Fourth Proportional to 2,534.76, 3,773.85 and 2,498.34

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Solution

The fourth proportional to 2,534.76, 3,773.85 and 2,498.34 is: 3,719.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,534.76 : 3,773.85 = 2,498.34 : x
  2. Step 2: Convert to fraction form
    2,534.76/3,773.85 = 2,498.34/x
  3. Step 3: Cross multiply
    2,534.76x = 3,773.85 × 2,498.34
  4. Step 4: Simplify right side
    2,534.76x = 9,428,360.41
  5. Step 5: Solve for x
    x = 9,428,360.41/2,534.76
  6. Step 6: Final answer
    x = 3,719.63

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.