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Finding the Fourth Proportional to 2,657.22, 3,985.70 and 1,096.76

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Solution

The fourth proportional to 2,657.22, 3,985.70 and 1,096.76 is: 1,645.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,657.22 : 3,985.70 = 1,096.76 : x
  2. Step 2: Convert to fraction form
    2,657.22/3,985.70 = 1,096.76/x
  3. Step 3: Cross multiply
    2,657.22x = 3,985.70 × 1,096.76
  4. Step 4: Simplify right side
    2,657.22x = 4,371,330.92
  5. Step 5: Solve for x
    x = 4,371,330.92/2,657.22
  6. Step 6: Final answer
    x = 1,645.08

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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.