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Finding the Fourth Proportional to 2,497.14, 3,744.45 and 937.08

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Solution

The fourth proportional to 2,497.14, 3,744.45 and 937.08 is: 1,405.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,497.14 : 3,744.45 = 937.08 : x
  2. Step 2: Convert to fraction form
    2,497.14/3,744.45 = 937.08/x
  3. Step 3: Cross multiply
    2,497.14x = 3,744.45 × 937.08
  4. Step 4: Simplify right side
    2,497.14x = 3,508,849.21
  5. Step 5: Solve for x
    x = 3,508,849.21/2,497.14
  6. Step 6: Final answer
    x = 1,405.15

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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.