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Finding the Fourth Proportional to 3,102.15, 4,276.98 and 1,921.17

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Solution

The fourth proportional to 3,102.15, 4,276.98 and 1,921.17 is: 2,648.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,102.15 : 4,276.98 = 1,921.17 : x
  2. Step 2: Convert to fraction form
    3,102.15/4,276.98 = 1,921.17/x
  3. Step 3: Cross multiply
    3,102.15x = 4,276.98 × 1,921.17
  4. Step 4: Simplify right side
    3,102.15x = 8,216,805.67
  5. Step 5: Solve for x
    x = 8,216,805.67/3,102.15
  6. Step 6: Final answer
    x = 2,648.75

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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.