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Finding the Fourth Proportional to 2,802.66, 3,870.78 and 2,180.72

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Solution

The fourth proportional to 2,802.66, 3,870.78 and 2,180.72 is: 3,011.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,802.66 : 3,870.78 = 2,180.72 : x
  2. Step 2: Convert to fraction form
    2,802.66/3,870.78 = 2,180.72/x
  3. Step 3: Cross multiply
    2,802.66x = 3,870.78 × 2,180.72
  4. Step 4: Simplify right side
    2,802.66x = 8,441,087.36
  5. Step 5: Solve for x
    x = 8,441,087.36/2,802.66
  6. Step 6: Final answer
    x = 3,011.81

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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.