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Finding the Fourth Proportional to 2,657.22, 3,984.76 and 1,097.46

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Solution

The fourth proportional to 2,657.22, 3,984.76 and 1,097.46 is: 1,645.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,657.22 : 3,984.76 = 1,097.46 : x
  2. Step 2: Convert to fraction form
    2,657.22/3,984.76 = 1,097.46/x
  3. Step 3: Cross multiply
    2,657.22x = 3,984.76 × 1,097.46
  4. Step 4: Simplify right side
    2,657.22x = 4,373,116.08
  5. Step 5: Solve for x
    x = 4,373,116.08/2,657.22
  6. Step 6: Final answer
    x = 1,645.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.