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Finding the Fourth Proportional to 2,496.61, 3,740.12 and 1,397.65

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Solution

The fourth proportional to 2,496.61, 3,740.12 and 1,397.65 is: 2,093.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,496.61 : 3,740.12 = 1,397.65 : x
  2. Step 2: Convert to fraction form
    2,496.61/3,740.12 = 1,397.65/x
  3. Step 3: Cross multiply
    2,496.61x = 3,740.12 × 1,397.65
  4. Step 4: Simplify right side
    2,496.61x = 5,227,378.72
  5. Step 5: Solve for x
    x = 5,227,378.72/2,496.61
  6. Step 6: Final answer
    x = 2,093.79

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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.