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Finding the Fourth Proportional to 3,097.72, 4,647.39 and 1,341.78

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Solution

The fourth proportional to 3,097.72, 4,647.39 and 1,341.78 is: 2,013.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,097.72 : 4,647.39 = 1,341.78 : x
  2. Step 2: Convert to fraction form
    3,097.72/4,647.39 = 1,341.78/x
  3. Step 3: Cross multiply
    3,097.72x = 4,647.39 × 1,341.78
  4. Step 4: Simplify right side
    3,097.72x = 6,235,774.95
  5. Step 5: Solve for x
    x = 6,235,774.95/3,097.72
  6. Step 6: Final answer
    x = 2,013.02

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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.