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Finding the Fourth Proportional to 1,356.50, 1,872.16 and 891.02

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Solution

The fourth proportional to 1,356.50, 1,872.16 and 891.02 is: 1,229.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,356.50 : 1,872.16 = 891.02 : x
  2. Step 2: Convert to fraction form
    1,356.50/1,872.16 = 891.02/x
  3. Step 3: Cross multiply
    1,356.50x = 1,872.16 × 891.02
  4. Step 4: Simplify right side
    1,356.50x = 1,668,132.00
  5. Step 5: Solve for x
    x = 1,668,132.00/1,356.50
  6. Step 6: Final answer
    x = 1,229.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.