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Finding the Fourth Proportional to 1,463.72, 2,196.06 and 916.36

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Solution

The fourth proportional to 1,463.72, 2,196.06 and 916.36 is: 1,374.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,463.72 : 2,196.06 = 916.36 : x
  2. Step 2: Convert to fraction form
    1,463.72/2,196.06 = 916.36/x
  3. Step 3: Cross multiply
    1,463.72x = 2,196.06 × 916.36
  4. Step 4: Simplify right side
    1,463.72x = 2,012,381.54
  5. Step 5: Solve for x
    x = 2,012,381.54/1,463.72
  6. Step 6: Final answer
    x = 1,374.84

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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.