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Finding the Fourth Proportional to 1,581.81, 2,180.14 and 1,400.77

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Solution

The fourth proportional to 1,581.81, 2,180.14 and 1,400.77 is: 1,930.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,581.81 : 2,180.14 = 1,400.77 : x
  2. Step 2: Convert to fraction form
    1,581.81/2,180.14 = 1,400.77/x
  3. Step 3: Cross multiply
    1,581.81x = 2,180.14 × 1,400.77
  4. Step 4: Simplify right side
    1,581.81x = 3,053,874.71
  5. Step 5: Solve for x
    x = 3,053,874.71/1,581.81
  6. Step 6: Final answer
    x = 1,930.62

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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.