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Finding the Fourth Proportional to 2,218.65, 3,330.02 and 1,123.78

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Solution

The fourth proportional to 2,218.65, 3,330.02 and 1,123.78 is: 1,686.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,218.65 : 3,330.02 = 1,123.78 : x
  2. Step 2: Convert to fraction form
    2,218.65/3,330.02 = 1,123.78/x
  3. Step 3: Cross multiply
    2,218.65x = 3,330.02 × 1,123.78
  4. Step 4: Simplify right side
    2,218.65x = 3,742,209.88
  5. Step 5: Solve for x
    x = 3,742,209.88/2,218.65
  6. Step 6: Final answer
    x = 1,686.71

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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.