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Finding the Fourth Proportional to 1,363.40, 1,868.38 and 1,232.18

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Solution

The fourth proportional to 1,363.40, 1,868.38 and 1,232.18 is: 1,688.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,363.40 : 1,868.38 = 1,232.18 : x
  2. Step 2: Convert to fraction form
    1,363.40/1,868.38 = 1,232.18/x
  3. Step 3: Cross multiply
    1,363.40x = 1,868.38 × 1,232.18
  4. Step 4: Simplify right side
    1,363.40x = 2,302,164.97
  5. Step 5: Solve for x
    x = 2,302,164.97/1,363.40
  6. Step 6: Final answer
    x = 1,688.55

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.