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Finding the Fourth Proportional to 2,666.22, 3,680.39 and 2,097.58

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Solution

The fourth proportional to 2,666.22, 3,680.39 and 2,097.58 is: 2,895.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,666.22 : 3,680.39 = 2,097.58 : x
  2. Step 2: Convert to fraction form
    2,666.22/3,680.39 = 2,097.58/x
  3. Step 3: Cross multiply
    2,666.22x = 3,680.39 × 2,097.58
  4. Step 4: Simplify right side
    2,666.22x = 7,719,912.46
  5. Step 5: Solve for x
    x = 7,719,912.46/2,666.22
  6. Step 6: Final answer
    x = 2,895.45

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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.