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Finding the Fourth Proportional to 2,856, 4,274.16 and 2,758.80

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Solution

The fourth proportional to 2,856, 4,274.16 and 2,758.80 is: 4,128.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,856 : 4,274.16 = 2,758.80 : x
  2. Step 2: Convert to fraction form
    2,856/4,274.16 = 2,758.80/x
  3. Step 3: Cross multiply
    2,856x = 4,274.16 × 2,758.80
  4. Step 4: Simplify right side
    2,856x = 11,791,552.61
  5. Step 5: Solve for x
    x = 11,791,552.61/2,856
  6. Step 6: Final answer
    x = 4,128.69

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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.