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Finding the Fourth Proportional to 2,104.82, 3,153.20 and 1,177.57

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Solution

The fourth proportional to 2,104.82, 3,153.20 and 1,177.57 is: 1,764.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,104.82 : 3,153.20 = 1,177.57 : x
  2. Step 2: Convert to fraction form
    2,104.82/3,153.20 = 1,177.57/x
  3. Step 3: Cross multiply
    2,104.82x = 3,153.20 × 1,177.57
  4. Step 4: Simplify right side
    2,104.82x = 3,713,111.78
  5. Step 5: Solve for x
    x = 3,713,111.78/2,104.82
  6. Step 6: Final answer
    x = 1,764.10

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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.