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Finding the Fourth Proportional to 1,801.24, 2,697.18 and 1,542.90

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Solution

The fourth proportional to 1,801.24, 2,697.18 and 1,542.90 is: 2,310.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,801.24 : 2,697.18 = 1,542.90 : x
  2. Step 2: Convert to fraction form
    1,801.24/2,697.18 = 1,542.90/x
  3. Step 3: Cross multiply
    1,801.24x = 2,697.18 × 1,542.90
  4. Step 4: Simplify right side
    1,801.24x = 4,161,479.02
  5. Step 5: Solve for x
    x = 4,161,479.02/1,801.24
  6. Step 6: Final answer
    x = 2,310.34

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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.