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Finding the Fourth Proportional to 1,433.62, 2,152.25 and 1,218.57

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Solution

The fourth proportional to 1,433.62, 2,152.25 and 1,218.57 is: 1,829.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,433.62 : 2,152.25 = 1,218.57 : x
  2. Step 2: Convert to fraction form
    1,433.62/2,152.25 = 1,218.57/x
  3. Step 3: Cross multiply
    1,433.62x = 2,152.25 × 1,218.57
  4. Step 4: Simplify right side
    1,433.62x = 2,622,667.28
  5. Step 5: Solve for x
    x = 2,622,667.28/1,433.62
  6. Step 6: Final answer
    x = 1,829.40

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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.