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Finding the Fourth Proportional to 2,874.33, 4,312.40 and 1,314.27

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Solution

The fourth proportional to 2,874.33, 4,312.40 and 1,314.27 is: 1,971.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,874.33 : 4,312.40 = 1,314.27 : x
  2. Step 2: Convert to fraction form
    2,874.33/4,312.40 = 1,314.27/x
  3. Step 3: Cross multiply
    2,874.33x = 4,312.40 × 1,314.27
  4. Step 4: Simplify right side
    2,874.33x = 5,667,657.95
  5. Step 5: Solve for x
    x = 5,667,657.95/2,874.33
  6. Step 6: Final answer
    x = 1,971.82

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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.