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Finding the Fourth Proportional to 1,543.50, 2,128.82 and 1,366.65

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Solution

The fourth proportional to 1,543.50, 2,128.82 and 1,366.65 is: 1,884.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,543.50 : 2,128.82 = 1,366.65 : x
  2. Step 2: Convert to fraction form
    1,543.50/2,128.82 = 1,366.65/x
  3. Step 3: Cross multiply
    1,543.50x = 2,128.82 × 1,366.65
  4. Step 4: Simplify right side
    1,543.50x = 2,909,351.85
  5. Step 5: Solve for x
    x = 2,909,351.85/1,543.50
  6. Step 6: Final answer
    x = 1,884.91

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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.