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Finding the Fourth Proportional to 2,856.59, 4,278.80 and 1,685.33

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Solution

The fourth proportional to 2,856.59, 4,278.80 and 1,685.33 is: 2,524.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,856.59 : 4,278.80 = 1,685.33 : x
  2. Step 2: Convert to fraction form
    2,856.59/4,278.80 = 1,685.33/x
  3. Step 3: Cross multiply
    2,856.59x = 4,278.80 × 1,685.33
  4. Step 4: Simplify right side
    2,856.59x = 7,211,168.61
  5. Step 5: Solve for x
    x = 7,211,168.61/2,856.59
  6. Step 6: Final answer
    x = 2,524.40

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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.