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Finding the Fourth Proportional to 2,123.61, 3,178.74 and 1,340.90

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Solution

The fourth proportional to 2,123.61, 3,178.74 and 1,340.90 is: 2,007.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,123.61 : 3,178.74 = 1,340.90 : x
  2. Step 2: Convert to fraction form
    2,123.61/3,178.74 = 1,340.90/x
  3. Step 3: Cross multiply
    2,123.61x = 3,178.74 × 1,340.90
  4. Step 4: Simplify right side
    2,123.61x = 4,262,380.41
  5. Step 5: Solve for x
    x = 4,262,380.41/2,123.61
  6. Step 6: Final answer
    x = 2,007.14

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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.