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Finding the Fourth Proportional to 2,971.87, 4,458.78 and 1,123.13

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Solution

The fourth proportional to 2,971.87, 4,458.78 and 1,123.13 is: 1,685.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,971.87 : 4,458.78 = 1,123.13 : x
  2. Step 2: Convert to fraction form
    2,971.87/4,458.78 = 1,123.13/x
  3. Step 3: Cross multiply
    2,971.87x = 4,458.78 × 1,123.13
  4. Step 4: Simplify right side
    2,971.87x = 5,007,800.73
  5. Step 5: Solve for x
    x = 5,007,800.73/2,971.87
  6. Step 6: Final answer
    x = 1,685.07

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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.