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Finding the Fourth Proportional to 2,890.20, 4,335.90 and 942.55

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Solution

The fourth proportional to 2,890.20, 4,335.90 and 942.55 is: 1,414.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,890.20 : 4,335.90 = 942.55 : x
  2. Step 2: Convert to fraction form
    2,890.20/4,335.90 = 942.55/x
  3. Step 3: Cross multiply
    2,890.20x = 4,335.90 × 942.55
  4. Step 4: Simplify right side
    2,890.20x = 4,086,802.55
  5. Step 5: Solve for x
    x = 4,086,802.55/2,890.20
  6. Step 6: Final answer
    x = 1,414.02

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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.