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Finding the Fourth Proportional to 2,598.90, 3,898.34 and 954.73

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Solution

The fourth proportional to 2,598.90, 3,898.34 and 954.73 is: 1,432.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,598.90 : 3,898.34 = 954.73 : x
  2. Step 2: Convert to fraction form
    2,598.90/3,898.34 = 954.73/x
  3. Step 3: Cross multiply
    2,598.90x = 3,898.34 × 954.73
  4. Step 4: Simplify right side
    2,598.90x = 3,721,862.15
  5. Step 5: Solve for x
    x = 3,721,862.15/2,598.90
  6. Step 6: Final answer
    x = 1,432.09

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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.