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Finding the Fourth Proportional to 4,046.75, 6,070.80 and 1,414.99

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Solution

The fourth proportional to 4,046.75, 6,070.80 and 1,414.99 is: 2,122.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,046.75 : 6,070.80 = 1,414.99 : x
  2. Step 2: Convert to fraction form
    4,046.75/6,070.80 = 1,414.99/x
  3. Step 3: Cross multiply
    4,046.75x = 6,070.80 × 1,414.99
  4. Step 4: Simplify right side
    4,046.75x = 8,590,121.29
  5. Step 5: Solve for x
    x = 8,590,121.29/4,046.75
  6. Step 6: Final answer
    x = 2,122.72

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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.