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Finding the Fourth Proportional to 1,436.67, 2,154.96 and 462.78

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Solution

The fourth proportional to 1,436.67, 2,154.96 and 462.78 is: 694.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,436.67 : 2,154.96 = 462.78 : x
  2. Step 2: Convert to fraction form
    1,436.67/2,154.96 = 462.78/x
  3. Step 3: Cross multiply
    1,436.67x = 2,154.96 × 462.78
  4. Step 4: Simplify right side
    1,436.67x = 997,272.39
  5. Step 5: Solve for x
    x = 997,272.39/1,436.67
  6. Step 6: Final answer
    x = 694.16

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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.