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Finding the Fourth Proportional to 2,856.39, 4,284.54 and 1,540.76

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Solution

The fourth proportional to 2,856.39, 4,284.54 and 1,540.76 is: 2,311.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,856.39 : 4,284.54 = 1,540.76 : x
  2. Step 2: Convert to fraction form
    2,856.39/4,284.54 = 1,540.76/x
  3. Step 3: Cross multiply
    2,856.39x = 4,284.54 × 1,540.76
  4. Step 4: Simplify right side
    2,856.39x = 6,601,426.43
  5. Step 5: Solve for x
    x = 6,601,426.43/2,856.39
  6. Step 6: Final answer
    x = 2,311.11

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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.