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Finding the Fourth Proportional to 1,463.41, 2,196.40 and 916.66

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Solution

The fourth proportional to 1,463.41, 2,196.40 and 916.66 is: 1,375.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,463.41 : 2,196.40 = 916.66 : x
  2. Step 2: Convert to fraction form
    1,463.41/2,196.40 = 916.66/x
  3. Step 3: Cross multiply
    1,463.41x = 2,196.40 × 916.66
  4. Step 4: Simplify right side
    1,463.41x = 2,013,352.02
  5. Step 5: Solve for x
    x = 2,013,352.02/1,463.41
  6. Step 6: Final answer
    x = 1,375.79

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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.