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Finding the Fourth Proportional to 1,872.81, 2,581.65 and 1,540.62

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Solution

The fourth proportional to 1,872.81, 2,581.65 and 1,540.62 is: 2,123.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,872.81 : 2,581.65 = 1,540.62 : x
  2. Step 2: Convert to fraction form
    1,872.81/2,581.65 = 1,540.62/x
  3. Step 3: Cross multiply
    1,872.81x = 2,581.65 × 1,540.62
  4. Step 4: Simplify right side
    1,872.81x = 3,977,341.62
  5. Step 5: Solve for x
    x = 3,977,341.62/1,872.81
  6. Step 6: Final answer
    x = 2,123.73

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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.