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Finding the Fourth Proportional to 2,657.58, 3,661.41 and 2,097.87

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Solution

The fourth proportional to 2,657.58, 3,661.41 and 2,097.87 is: 2,890.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,657.58 : 3,661.41 = 2,097.87 : x
  2. Step 2: Convert to fraction form
    2,657.58/3,661.41 = 2,097.87/x
  3. Step 3: Cross multiply
    2,657.58x = 3,661.41 × 2,097.87
  4. Step 4: Simplify right side
    2,657.58x = 7,681,162.20
  5. Step 5: Solve for x
    x = 7,681,162.20/2,657.58
  6. Step 6: Final answer
    x = 2,890.28

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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.