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Finding the Fourth Proportional to 2,319.31, 3,478.97 and 675.89

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Solution

The fourth proportional to 2,319.31, 3,478.97 and 675.89 is: 1,013.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,319.31 : 3,478.97 = 675.89 : x
  2. Step 2: Convert to fraction form
    2,319.31/3,478.97 = 675.89/x
  3. Step 3: Cross multiply
    2,319.31x = 3,478.97 × 675.89
  4. Step 4: Simplify right side
    2,319.31x = 2,351,401.03
  5. Step 5: Solve for x
    x = 2,351,401.03/2,319.31
  6. Step 6: Final answer
    x = 1,013.84

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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.