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Finding the Fourth Proportional to 2,778.30, 3,809.43 and 2,712.69

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Solution

The fourth proportional to 2,778.30, 3,809.43 and 2,712.69 is: 3,719.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,778.30 : 3,809.43 = 2,712.69 : x
  2. Step 2: Convert to fraction form
    2,778.30/3,809.43 = 2,712.69/x
  3. Step 3: Cross multiply
    2,778.30x = 3,809.43 × 2,712.69
  4. Step 4: Simplify right side
    2,778.30x = 10,333,802.67
  5. Step 5: Solve for x
    x = 10,333,802.67/2,778.30
  6. Step 6: Final answer
    x = 3,719.47

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.