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Finding the Fourth Proportional to 1,776.28, 2,450.46 and 1,543

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Solution

The fourth proportional to 1,776.28, 2,450.46 and 1,543 is: 2,128.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,776.28 : 2,450.46 = 1,543 : x
  2. Step 2: Convert to fraction form
    1,776.28/2,450.46 = 1,543/x
  3. Step 3: Cross multiply
    1,776.28x = 2,450.46 × 1,543
  4. Step 4: Simplify right side
    1,776.28x = 3,781,059.78
  5. Step 5: Solve for x
    x = 3,781,059.78/1,776.28
  6. Step 6: Final answer
    x = 2,128.64

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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.