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Finding the Fourth Proportional to 2,712.10, 4,066.70 and 1,250

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Solution

The fourth proportional to 2,712.10, 4,066.70 and 1,250 is: 1,874.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,712.10 : 4,066.70 = 1,250 : x
  2. Step 2: Convert to fraction form
    2,712.10/4,066.70 = 1,250/x
  3. Step 3: Cross multiply
    2,712.10x = 4,066.70 × 1,250
  4. Step 4: Simplify right side
    2,712.10x = 5,083,375
  5. Step 5: Solve for x
    x = 5,083,375/2,712.10
  6. Step 6: Final answer
    x = 1,874.34

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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.