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Finding the Fourth Proportional to 1,806.28, 2,491.68 and 1,142.86

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Solution

The fourth proportional to 1,806.28, 2,491.68 and 1,142.86 is: 1,576.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,806.28 : 2,491.68 = 1,142.86 : x
  2. Step 2: Convert to fraction form
    1,806.28/2,491.68 = 1,142.86/x
  3. Step 3: Cross multiply
    1,806.28x = 2,491.68 × 1,142.86
  4. Step 4: Simplify right side
    1,806.28x = 2,847,641.40
  5. Step 5: Solve for x
    x = 2,847,641.40/1,806.28
  6. Step 6: Final answer
    x = 1,576.52

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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.