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Finding the Fourth Proportional to 2,827.60, 4,220.90 and 2,482

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Solution

The fourth proportional to 2,827.60, 4,220.90 and 2,482 is: 3,705.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,827.60 : 4,220.90 = 2,482 : x
  2. Step 2: Convert to fraction form
    2,827.60/4,220.90 = 2,482/x
  3. Step 3: Cross multiply
    2,827.60x = 4,220.90 × 2,482
  4. Step 4: Simplify right side
    2,827.60x = 10,476,273.80
  5. Step 5: Solve for x
    x = 10,476,273.80/2,827.60
  6. Step 6: Final answer
    x = 3,705.01

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.