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Finding the Fourth Proportional to 2,902.28, 4,003.44 and 1,854.86

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Solution

The fourth proportional to 2,902.28, 4,003.44 and 1,854.86 is: 2,558.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,902.28 : 4,003.44 = 1,854.86 : x
  2. Step 2: Convert to fraction form
    2,902.28/4,003.44 = 1,854.86/x
  3. Step 3: Cross multiply
    2,902.28x = 4,003.44 × 1,854.86
  4. Step 4: Simplify right side
    2,902.28x = 7,425,820.72
  5. Step 5: Solve for x
    x = 7,425,820.72/2,902.28
  6. Step 6: Final answer
    x = 2,558.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.