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Finding the Fourth Proportional to 3,167.78, 4,751.55 and 1,436.40

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Solution

The fourth proportional to 3,167.78, 4,751.55 and 1,436.40 is: 2,154.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,167.78 : 4,751.55 = 1,436.40 : x
  2. Step 2: Convert to fraction form
    3,167.78/4,751.55 = 1,436.40/x
  3. Step 3: Cross multiply
    3,167.78x = 4,751.55 × 1,436.40
  4. Step 4: Simplify right side
    3,167.78x = 6,825,126.42
  5. Step 5: Solve for x
    x = 6,825,126.42/3,167.78
  6. Step 6: Final answer
    x = 2,154.55

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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.