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Finding the Fourth Proportional to 1,838.24, 2,756.12 and 667.66

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Solution

The fourth proportional to 1,838.24, 2,756.12 and 667.66 is: 1,001.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,838.24 : 2,756.12 = 667.66 : x
  2. Step 2: Convert to fraction form
    1,838.24/2,756.12 = 667.66/x
  3. Step 3: Cross multiply
    1,838.24x = 2,756.12 × 667.66
  4. Step 4: Simplify right side
    1,838.24x = 1,840,151.08
  5. Step 5: Solve for x
    x = 1,840,151.08/1,838.24
  6. Step 6: Final answer
    x = 1,001.04

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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.