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Finding the Fourth Proportional to 3,061.86, 4,591.71 and 1,418.10

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Solution

The fourth proportional to 3,061.86, 4,591.71 and 1,418.10 is: 2,126.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,061.86 : 4,591.71 = 1,418.10 : x
  2. Step 2: Convert to fraction form
    3,061.86/4,591.71 = 1,418.10/x
  3. Step 3: Cross multiply
    3,061.86x = 4,591.71 × 1,418.10
  4. Step 4: Simplify right side
    3,061.86x = 6,511,503.95
  5. Step 5: Solve for x
    x = 6,511,503.95/3,061.86
  6. Step 6: Final answer
    x = 2,126.65

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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.