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Finding the Fourth Proportional to 2,758.19, 4,137.28 and 811.76

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Solution

The fourth proportional to 2,758.19, 4,137.28 and 811.76 is: 1,217.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,758.19 : 4,137.28 = 811.76 : x
  2. Step 2: Convert to fraction form
    2,758.19/4,137.28 = 811.76/x
  3. Step 3: Cross multiply
    2,758.19x = 4,137.28 × 811.76
  4. Step 4: Simplify right side
    2,758.19x = 3,358,455.70
  5. Step 5: Solve for x
    x = 3,358,455.70/2,758.19
  6. Step 6: Final answer
    x = 1,217.63

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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.