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Finding the Fourth Proportional to 2,802, 4,199.46 and 2,454.48

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Solution

The fourth proportional to 2,802, 4,199.46 and 2,454.48 is: 3,678.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,802 : 4,199.46 = 2,454.48 : x
  2. Step 2: Convert to fraction form
    2,802/4,199.46 = 2,454.48/x
  3. Step 3: Cross multiply
    2,802x = 4,199.46 × 2,454.48
  4. Step 4: Simplify right side
    2,802x = 10,307,490.58
  5. Step 5: Solve for x
    x = 10,307,490.58/2,802
  6. Step 6: Final answer
    x = 3,678.62

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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.