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Finding the Fourth Proportional to 2,802.85, 3,868.39 and 2,138.45

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Solution

The fourth proportional to 2,802.85, 3,868.39 and 2,138.45 is: 2,951.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,802.85 : 3,868.39 = 2,138.45 : x
  2. Step 2: Convert to fraction form
    2,802.85/3,868.39 = 2,138.45/x
  3. Step 3: Cross multiply
    2,802.85x = 3,868.39 × 2,138.45
  4. Step 4: Simplify right side
    2,802.85x = 8,272,341.93
  5. Step 5: Solve for x
    x = 8,272,341.93/2,802.85
  6. Step 6: Final answer
    x = 2,951.41

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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.