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Finding the Fourth Proportional to 2,657.80, 3,666.18 and 2,067.40

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Solution

The fourth proportional to 2,657.80, 3,666.18 and 2,067.40 is: 2,851.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,657.80 : 3,666.18 = 2,067.40 : x
  2. Step 2: Convert to fraction form
    2,657.80/3,666.18 = 2,067.40/x
  3. Step 3: Cross multiply
    2,657.80x = 3,666.18 × 2,067.40
  4. Step 4: Simplify right side
    2,657.80x = 7,579,460.53
  5. Step 5: Solve for x
    x = 7,579,460.53/2,657.80
  6. Step 6: Final answer
    x = 2,851.78

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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.