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Finding the Fourth Proportional to 2,202.48, 3,037.68 and 1,503.42

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Solution

The fourth proportional to 2,202.48, 3,037.68 and 1,503.42 is: 2,073.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,202.48 : 3,037.68 = 1,503.42 : x
  2. Step 2: Convert to fraction form
    2,202.48/3,037.68 = 1,503.42/x
  3. Step 3: Cross multiply
    2,202.48x = 3,037.68 × 1,503.42
  4. Step 4: Simplify right side
    2,202.48x = 4,566,908.87
  5. Step 5: Solve for x
    x = 4,566,908.87/2,202.48
  6. Step 6: Final answer
    x = 2,073.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.