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Finding the Fourth Proportional to 2,510.45, 3,766.14 and 1,123.84

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Solution

The fourth proportional to 2,510.45, 3,766.14 and 1,123.84 is: 1,685.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,510.45 : 3,766.14 = 1,123.84 : x
  2. Step 2: Convert to fraction form
    2,510.45/3,766.14 = 1,123.84/x
  3. Step 3: Cross multiply
    2,510.45x = 3,766.14 × 1,123.84
  4. Step 4: Simplify right side
    2,510.45x = 4,232,538.78
  5. Step 5: Solve for x
    x = 4,232,538.78/2,510.45
  6. Step 6: Final answer
    x = 1,685.97

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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.