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Finding the Fourth Proportional to 1,463.74, 2,196.12 and 733.15

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Solution

The fourth proportional to 1,463.74, 2,196.12 and 733.15 is: 1,099.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,463.74 : 2,196.12 = 733.15 : x
  2. Step 2: Convert to fraction form
    1,463.74/2,196.12 = 733.15/x
  3. Step 3: Cross multiply
    1,463.74x = 2,196.12 × 733.15
  4. Step 4: Simplify right side
    1,463.74x = 1,610,085.38
  5. Step 5: Solve for x
    x = 1,610,085.38/1,463.74
  6. Step 6: Final answer
    x = 1,099.98

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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.