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Finding the Fourth Proportional to 2,118.42, 3,174.89 and 1,007.46

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Solution

The fourth proportional to 2,118.42, 3,174.89 and 1,007.46 is: 1,509.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,118.42 : 3,174.89 = 1,007.46 : x
  2. Step 2: Convert to fraction form
    2,118.42/3,174.89 = 1,007.46/x
  3. Step 3: Cross multiply
    2,118.42x = 3,174.89 × 1,007.46
  4. Step 4: Simplify right side
    2,118.42x = 3,198,569.64
  5. Step 5: Solve for x
    x = 3,198,569.64/2,118.42
  6. Step 6: Final answer
    x = 1,509.88

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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.