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Finding the Fourth Proportional to 2,598.35, 3,864.11 and 2,516.31

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Solution

The fourth proportional to 2,598.35, 3,864.11 and 2,516.31 is: 3,742.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,598.35 : 3,864.11 = 2,516.31 : x
  2. Step 2: Convert to fraction form
    2,598.35/3,864.11 = 2,516.31/x
  3. Step 3: Cross multiply
    2,598.35x = 3,864.11 × 2,516.31
  4. Step 4: Simplify right side
    2,598.35x = 9,723,286.05
  5. Step 5: Solve for x
    x = 9,723,286.05/2,598.35
  6. Step 6: Final answer
    x = 3,742.11

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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.