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Finding the Fourth Proportional to 2,253.24, 3,377.55 and 937.76

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Solution

The fourth proportional to 2,253.24, 3,377.55 and 937.76 is: 1,405.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,253.24 : 3,377.55 = 937.76 : x
  2. Step 2: Convert to fraction form
    2,253.24/3,377.55 = 937.76/x
  3. Step 3: Cross multiply
    2,253.24x = 3,377.55 × 937.76
  4. Step 4: Simplify right side
    2,253.24x = 3,167,331.29
  5. Step 5: Solve for x
    x = 3,167,331.29/2,253.24
  6. Step 6: Final answer
    x = 1,405.68

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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.