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Finding the Fourth Proportional to 2,874.31, 4,312.53 and 1,232.14

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Solution

The fourth proportional to 2,874.31, 4,312.53 and 1,232.14 is: 1,848.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,874.31 : 4,312.53 = 1,232.14 : x
  2. Step 2: Convert to fraction form
    2,874.31/4,312.53 = 1,232.14/x
  3. Step 3: Cross multiply
    2,874.31x = 4,312.53 × 1,232.14
  4. Step 4: Simplify right side
    2,874.31x = 5,313,612.99
  5. Step 5: Solve for x
    x = 5,313,612.99/2,874.31
  6. Step 6: Final answer
    x = 1,848.66

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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.