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Finding the Fourth Proportional to 2,838, 4,254.96 and 1,451.76

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Solution

The fourth proportional to 2,838, 4,254.96 and 1,451.76 is: 2,176.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,838 : 4,254.96 = 1,451.76 : x
  2. Step 2: Convert to fraction form
    2,838/4,254.96 = 1,451.76/x
  3. Step 3: Cross multiply
    2,838x = 4,254.96 × 1,451.76
  4. Step 4: Simplify right side
    2,838x = 6,177,180.73
  5. Step 5: Solve for x
    x = 6,177,180.73/2,838
  6. Step 6: Final answer
    x = 2,176.60

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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.