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Finding the Fourth Proportional to 2,319.36, 3,479.60 and 759.44

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Solution

The fourth proportional to 2,319.36, 3,479.60 and 759.44 is: 1,139.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,319.36 : 3,479.60 = 759.44 : x
  2. Step 2: Convert to fraction form
    2,319.36/3,479.60 = 759.44/x
  3. Step 3: Cross multiply
    2,319.36x = 3,479.60 × 759.44
  4. Step 4: Simplify right side
    2,319.36x = 2,642,547.42
  5. Step 5: Solve for x
    x = 2,642,547.42/2,319.36
  6. Step 6: Final answer
    x = 1,139.34

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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.