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Finding the Fourth Proportional to 2,884.62, 4,302.30 and 2,448.74

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Solution

The fourth proportional to 2,884.62, 4,302.30 and 2,448.74 is: 3,652.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,884.62 : 4,302.30 = 2,448.74 : x
  2. Step 2: Convert to fraction form
    2,884.62/4,302.30 = 2,448.74/x
  3. Step 3: Cross multiply
    2,884.62x = 4,302.30 × 2,448.74
  4. Step 4: Simplify right side
    2,884.62x = 10,535,180.35
  5. Step 5: Solve for x
    x = 10,535,180.35/2,884.62
  6. Step 6: Final answer
    x = 3,652.19

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Why These Related Problems?

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