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Finding the Fourth Proportional to 2,744.52, 4,118.13 and 1,283.46

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Solution

The fourth proportional to 2,744.52, 4,118.13 and 1,283.46 is: 1,925.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,744.52 : 4,118.13 = 1,283.46 : x
  2. Step 2: Convert to fraction form
    2,744.52/4,118.13 = 1,283.46/x
  3. Step 3: Cross multiply
    2,744.52x = 4,118.13 × 1,283.46
  4. Step 4: Simplify right side
    2,744.52x = 5,285,455.13
  5. Step 5: Solve for x
    x = 5,285,455.13/2,744.52
  6. Step 6: Final answer
    x = 1,925.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.