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Finding the Fourth Proportional to 2,759.10, 4,139.28 and 811.46

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Solution

The fourth proportional to 2,759.10, 4,139.28 and 811.46 is: 1,217.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,759.10 : 4,139.28 = 811.46 : x
  2. Step 2: Convert to fraction form
    2,759.10/4,139.28 = 811.46/x
  3. Step 3: Cross multiply
    2,759.10x = 4,139.28 × 811.46
  4. Step 4: Simplify right side
    2,759.10x = 3,358,860.15
  5. Step 5: Solve for x
    x = 3,358,860.15/2,759.10
  6. Step 6: Final answer
    x = 1,217.38

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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.