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Finding the Fourth Proportional to 1,838.10, 2,752.29 and 969.78

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Solution

The fourth proportional to 1,838.10, 2,752.29 and 969.78 is: 1,452.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,838.10 : 2,752.29 = 969.78 : x
  2. Step 2: Convert to fraction form
    1,838.10/2,752.29 = 969.78/x
  3. Step 3: Cross multiply
    1,838.10x = 2,752.29 × 969.78
  4. Step 4: Simplify right side
    1,838.10x = 2,669,115.80
  5. Step 5: Solve for x
    x = 2,669,115.80/1,838.10
  6. Step 6: Final answer
    x = 1,452.11

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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.