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Finding the Fourth Proportional to 1,967.40, 2,949.66 and 1,042.20

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Solution

The fourth proportional to 1,967.40, 2,949.66 and 1,042.20 is: 1,562.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,967.40 : 2,949.66 = 1,042.20 : x
  2. Step 2: Convert to fraction form
    1,967.40/2,949.66 = 1,042.20/x
  3. Step 3: Cross multiply
    1,967.40x = 2,949.66 × 1,042.20
  4. Step 4: Simplify right side
    1,967.40x = 3,074,135.65
  5. Step 5: Solve for x
    x = 3,074,135.65/1,967.40
  6. Step 6: Final answer
    x = 1,562.54

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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.