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Finding the Fourth Proportional to 2,974.60, 4,104.92 and 1,795.76

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Solution

The fourth proportional to 2,974.60, 4,104.92 and 1,795.76 is: 2,478.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,974.60 : 4,104.92 = 1,795.76 : x
  2. Step 2: Convert to fraction form
    2,974.60/4,104.92 = 1,795.76/x
  3. Step 3: Cross multiply
    2,974.60x = 4,104.92 × 1,795.76
  4. Step 4: Simplify right side
    2,974.60x = 7,371,451.14
  5. Step 5: Solve for x
    x = 7,371,451.14/2,974.60
  6. Step 6: Final answer
    x = 2,478.13

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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.