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Finding the Fourth Proportional to 2,802.75, 3,868.17 and 1,810.91

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Solution

The fourth proportional to 2,802.75, 3,868.17 and 1,810.91 is: 2,499.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,802.75 : 3,868.17 = 1,810.91 : x
  2. Step 2: Convert to fraction form
    2,802.75/3,868.17 = 1,810.91/x
  3. Step 3: Cross multiply
    2,802.75x = 3,868.17 × 1,810.91
  4. Step 4: Simplify right side
    2,802.75x = 7,004,910.61
  5. Step 5: Solve for x
    x = 7,004,910.61/2,802.75
  6. Step 6: Final answer
    x = 2,499.30

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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.