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Finding the Fourth Proportional to 2,275.49, 3,407.76 and 1,542.84

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Solution

The fourth proportional to 2,275.49, 3,407.76 and 1,542.84 is: 2,310.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,275.49 : 3,407.76 = 1,542.84 : x
  2. Step 2: Convert to fraction form
    2,275.49/3,407.76 = 1,542.84/x
  3. Step 3: Cross multiply
    2,275.49x = 3,407.76 × 1,542.84
  4. Step 4: Simplify right side
    2,275.49x = 5,257,628.44
  5. Step 5: Solve for x
    x = 5,257,628.44/2,275.49
  6. Step 6: Final answer
    x = 2,310.55

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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.