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Finding the Fourth Proportional to 2,497.40, 3,741.42 and 2,089.16

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Solution

The fourth proportional to 2,497.40, 3,741.42 and 2,089.16 is: 3,129.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,497.40 : 3,741.42 = 2,089.16 : x
  2. Step 2: Convert to fraction form
    2,497.40/3,741.42 = 2,089.16/x
  3. Step 3: Cross multiply
    2,497.40x = 3,741.42 × 2,089.16
  4. Step 4: Simplify right side
    2,497.40x = 7,816,425.01
  5. Step 5: Solve for x
    x = 7,816,425.01/2,497.40
  6. Step 6: Final answer
    x = 3,129.83

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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.