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Finding the Fourth Proportional to 4,122.95, 6,184.89 and 1,348.83

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Solution

The fourth proportional to 4,122.95, 6,184.89 and 1,348.83 is: 2,023.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,122.95 : 6,184.89 = 1,348.83 : x
  2. Step 2: Convert to fraction form
    4,122.95/6,184.89 = 1,348.83/x
  3. Step 3: Cross multiply
    4,122.95x = 6,184.89 × 1,348.83
  4. Step 4: Simplify right side
    4,122.95x = 8,342,365.18
  5. Step 5: Solve for x
    x = 8,342,365.18/4,122.95
  6. Step 6: Final answer
    x = 2,023.40

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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.