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Finding the Fourth Proportional to 2,142.85, 3,215.34 and 1,047.19

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Solution

The fourth proportional to 2,142.85, 3,215.34 and 1,047.19 is: 1,571.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,142.85 : 3,215.34 = 1,047.19 : x
  2. Step 2: Convert to fraction form
    2,142.85/3,215.34 = 1,047.19/x
  3. Step 3: Cross multiply
    2,142.85x = 3,215.34 × 1,047.19
  4. Step 4: Simplify right side
    2,142.85x = 3,367,066.66
  5. Step 5: Solve for x
    x = 3,367,066.66/2,142.85
  6. Step 6: Final answer
    x = 1,571.30

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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.