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Finding the Fourth Proportional to 3,129.75, 4,319.12 and 1,713.49

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Solution

The fourth proportional to 3,129.75, 4,319.12 and 1,713.49 is: 2,364.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,129.75 : 4,319.12 = 1,713.49 : x
  2. Step 2: Convert to fraction form
    3,129.75/4,319.12 = 1,713.49/x
  3. Step 3: Cross multiply
    3,129.75x = 4,319.12 × 1,713.49
  4. Step 4: Simplify right side
    3,129.75x = 7,400,769.79
  5. Step 5: Solve for x
    x = 7,400,769.79/3,129.75
  6. Step 6: Final answer
    x = 2,364.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.