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Finding the Fourth Proportional to 2,856.90, 4,278.15 and 2,280.90

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Solution

The fourth proportional to 2,856.90, 4,278.15 and 2,280.90 is: 3,415.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,856.90 : 4,278.15 = 2,280.90 : x
  2. Step 2: Convert to fraction form
    2,856.90/4,278.15 = 2,280.90/x
  3. Step 3: Cross multiply
    2,856.90x = 4,278.15 × 2,280.90
  4. Step 4: Simplify right side
    2,856.90x = 9,758,032.34
  5. Step 5: Solve for x
    x = 9,758,032.34/2,856.90
  6. Step 6: Final answer
    x = 3,415.60

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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.