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Finding the Fourth Proportional to 2,706.18, 4,057.83 and 856.80

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Solution

The fourth proportional to 2,706.18, 4,057.83 and 856.80 is: 1,284.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,706.18 : 4,057.83 = 856.80 : x
  2. Step 2: Convert to fraction form
    2,706.18/4,057.83 = 856.80/x
  3. Step 3: Cross multiply
    2,706.18x = 4,057.83 × 856.80
  4. Step 4: Simplify right side
    2,706.18x = 3,476,748.74
  5. Step 5: Solve for x
    x = 3,476,748.74/2,706.18
  6. Step 6: Final answer
    x = 1,284.74

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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.