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Finding the Fourth Proportional to 1,362.24, 2,042.44 and 875.02

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Solution

The fourth proportional to 1,362.24, 2,042.44 and 875.02 is: 1,311.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,362.24 : 2,042.44 = 875.02 : x
  2. Step 2: Convert to fraction form
    1,362.24/2,042.44 = 875.02/x
  3. Step 3: Cross multiply
    1,362.24x = 2,042.44 × 875.02
  4. Step 4: Simplify right side
    1,362.24x = 1,787,175.85
  5. Step 5: Solve for x
    x = 1,787,175.85/1,362.24
  6. Step 6: Final answer
    x = 1,311.94

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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.