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Finding the Fourth Proportional to 2,894.68, 4,342.02 and 2,032.84

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Solution

The fourth proportional to 2,894.68, 4,342.02 and 2,032.84 is: 3,049.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,894.68 : 4,342.02 = 2,032.84 : x
  2. Step 2: Convert to fraction form
    2,894.68/4,342.02 = 2,032.84/x
  3. Step 3: Cross multiply
    2,894.68x = 4,342.02 × 2,032.84
  4. Step 4: Simplify right side
    2,894.68x = 8,826,621.08
  5. Step 5: Solve for x
    x = 8,826,621.08/2,894.68
  6. Step 6: Final answer
    x = 3,049.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.