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Finding the Fourth Proportional to 2,104.92, 3,156.30 and 788.13

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Solution

The fourth proportional to 2,104.92, 3,156.30 and 788.13 is: 1,181.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,104.92 : 3,156.30 = 788.13 : x
  2. Step 2: Convert to fraction form
    2,104.92/3,156.30 = 788.13/x
  3. Step 3: Cross multiply
    2,104.92x = 3,156.30 × 788.13
  4. Step 4: Simplify right side
    2,104.92x = 2,487,574.72
  5. Step 5: Solve for x
    x = 2,487,574.72/2,104.92
  6. Step 6: Final answer
    x = 1,181.79

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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.