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Finding the Fourth Proportional to 2,209.65, 3,052.02 and 1,652.59

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Solution

The fourth proportional to 2,209.65, 3,052.02 and 1,652.59 is: 2,282.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,209.65 : 3,052.02 = 1,652.59 : x
  2. Step 2: Convert to fraction form
    2,209.65/3,052.02 = 1,652.59/x
  3. Step 3: Cross multiply
    2,209.65x = 3,052.02 × 1,652.59
  4. Step 4: Simplify right side
    2,209.65x = 5,043,737.73
  5. Step 5: Solve for x
    x = 5,043,737.73/2,209.65
  6. Step 6: Final answer
    x = 2,282.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.