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Finding the Fourth Proportional to 1,436.96, 2,154.26 and 743.83

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Solution

The fourth proportional to 1,436.96, 2,154.26 and 743.83 is: 1,115.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,436.96 : 2,154.26 = 743.83 : x
  2. Step 2: Convert to fraction form
    1,436.96/2,154.26 = 743.83/x
  3. Step 3: Cross multiply
    1,436.96x = 2,154.26 × 743.83
  4. Step 4: Simplify right side
    1,436.96x = 1,602,399.74
  5. Step 5: Solve for x
    x = 1,602,399.74/1,436.96
  6. Step 6: Final answer
    x = 1,115.13

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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.