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Finding the Fourth Proportional to 2,494.01, 3,740.97 and 645.11

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Solution

The fourth proportional to 2,494.01, 3,740.97 and 645.11 is: 967.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,494.01 : 3,740.97 = 645.11 : x
  2. Step 2: Convert to fraction form
    2,494.01/3,740.97 = 645.11/x
  3. Step 3: Cross multiply
    2,494.01x = 3,740.97 × 645.11
  4. Step 4: Simplify right side
    2,494.01x = 2,413,337.16
  5. Step 5: Solve for x
    x = 2,413,337.16/2,494.01
  6. Step 6: Final answer
    x = 967.65

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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.