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Finding the Fourth Proportional to 2,802.60, 3,868.97 and 2,174.99

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Solution

The fourth proportional to 2,802.60, 3,868.97 and 2,174.99 is: 3,002.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,802.60 : 3,868.97 = 2,174.99 : x
  2. Step 2: Convert to fraction form
    2,802.60/3,868.97 = 2,174.99/x
  3. Step 3: Cross multiply
    2,802.60x = 3,868.97 × 2,174.99
  4. Step 4: Simplify right side
    2,802.60x = 8,414,940.84
  5. Step 5: Solve for x
    x = 8,414,940.84/2,802.60
  6. Step 6: Final answer
    x = 3,002.55

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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.