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Finding the Fourth Proportional to 2,542.73, 3,509.22 and 1,423.76

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Solution

The fourth proportional to 2,542.73, 3,509.22 and 1,423.76 is: 1,964.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,542.73 : 3,509.22 = 1,423.76 : x
  2. Step 2: Convert to fraction form
    2,542.73/3,509.22 = 1,423.76/x
  3. Step 3: Cross multiply
    2,542.73x = 3,509.22 × 1,423.76
  4. Step 4: Simplify right side
    2,542.73x = 4,996,287.07
  5. Step 5: Solve for x
    x = 4,996,287.07/2,542.73
  6. Step 6: Final answer
    x = 1,964.93

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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.