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Finding the Fourth Proportional to 2,319.86, 3,479.45 and 675.96

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Solution

The fourth proportional to 2,319.86, 3,479.45 and 675.96 is: 1,013.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,319.86 : 3,479.45 = 675.96 : x
  2. Step 2: Convert to fraction form
    2,319.86/3,479.45 = 675.96/x
  3. Step 3: Cross multiply
    2,319.86x = 3,479.45 × 675.96
  4. Step 4: Simplify right side
    2,319.86x = 2,351,965.64
  5. Step 5: Solve for x
    x = 2,351,965.64/2,319.86
  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.