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Finding the Fourth Proportional to 2,825.80, 4,218.13 and 2,699.56

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Solution

The fourth proportional to 2,825.80, 4,218.13 and 2,699.56 is: 4,029.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,825.80 : 4,218.13 = 2,699.56 : x
  2. Step 2: Convert to fraction form
    2,825.80/4,218.13 = 2,699.56/x
  3. Step 3: Cross multiply
    2,825.80x = 4,218.13 × 2,699.56
  4. Step 4: Simplify right side
    2,825.80x = 11,387,095.02
  5. Step 5: Solve for x
    x = 11,387,095.02/2,825.80
  6. Step 6: Final answer
    x = 4,029.69

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.