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Finding the Fourth Proportional to 1,359.81, 1,862.48 and 1,280.02

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Solution

The fourth proportional to 1,359.81, 1,862.48 and 1,280.02 is: 1,753.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,359.81 : 1,862.48 = 1,280.02 : x
  2. Step 2: Convert to fraction form
    1,359.81/1,862.48 = 1,280.02/x
  3. Step 3: Cross multiply
    1,359.81x = 1,862.48 × 1,280.02
  4. Step 4: Simplify right side
    1,359.81x = 2,384,011.65
  5. Step 5: Solve for x
    x = 2,384,011.65/1,359.81
  6. Step 6: Final answer
    x = 1,753.19

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.