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Finding the Fourth Proportional to 3,061.84, 4,224.84 and 2,015.20

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Solution

The fourth proportional to 3,061.84, 4,224.84 and 2,015.20 is: 2,780.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,061.84 : 4,224.84 = 2,015.20 : x
  2. Step 2: Convert to fraction form
    3,061.84/4,224.84 = 2,015.20/x
  3. Step 3: Cross multiply
    3,061.84x = 4,224.84 × 2,015.20
  4. Step 4: Simplify right side
    3,061.84x = 8,513,897.57
  5. Step 5: Solve for x
    x = 8,513,897.57/3,061.84
  6. Step 6: Final answer
    x = 2,780.65

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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.