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Finding the Fourth Proportional to 3,046.27, 4,571.23 and 1,314.89

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Solution

The fourth proportional to 3,046.27, 4,571.23 and 1,314.89 is: 1,973.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,046.27 : 4,571.23 = 1,314.89 : x
  2. Step 2: Convert to fraction form
    3,046.27/4,571.23 = 1,314.89/x
  3. Step 3: Cross multiply
    3,046.27x = 4,571.23 × 1,314.89
  4. Step 4: Simplify right side
    3,046.27x = 6,010,672.76
  5. Step 5: Solve for x
    x = 6,010,672.76/3,046.27
  6. Step 6: Final answer
    x = 1,973.13

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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.