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Finding the Fourth Proportional to 1,752.66, 2,627.11 and 873.42

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Solution

The fourth proportional to 1,752.66, 2,627.11 and 873.42 is: 1,309.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,752.66 : 2,627.11 = 873.42 : x
  2. Step 2: Convert to fraction form
    1,752.66/2,627.11 = 873.42/x
  3. Step 3: Cross multiply
    1,752.66x = 2,627.11 × 873.42
  4. Step 4: Simplify right side
    1,752.66x = 2,294,578.08
  5. Step 5: Solve for x
    x = 2,294,578.08/1,752.66
  6. Step 6: Final answer
    x = 1,309.20

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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.