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Finding the Fourth Proportional to 2,675.46, 4,013.86 and 1,114.94

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Solution

The fourth proportional to 2,675.46, 4,013.86 and 1,114.94 is: 1,672.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,675.46 : 4,013.86 = 1,114.94 : x
  2. Step 2: Convert to fraction form
    2,675.46/4,013.86 = 1,114.94/x
  3. Step 3: Cross multiply
    2,675.46x = 4,013.86 × 1,114.94
  4. Step 4: Simplify right side
    2,675.46x = 4,475,213.07
  5. Step 5: Solve for x
    x = 4,475,213.07/2,675.46
  6. Step 6: Final answer
    x = 1,672.69

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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.