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Finding the Fourth Proportional to 2,598.37, 3,898.11 and 954.97

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Solution

The fourth proportional to 2,598.37, 3,898.11 and 954.97 is: 1,432.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,598.37 : 3,898.11 = 954.97 : x
  2. Step 2: Convert to fraction form
    2,598.37/3,898.11 = 954.97/x
  3. Step 3: Cross multiply
    2,598.37x = 3,898.11 × 954.97
  4. Step 4: Simplify right side
    2,598.37x = 3,722,578.11
  5. Step 5: Solve for x
    x = 3,722,578.11/2,598.37
  6. Step 6: Final answer
    x = 1,432.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.