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Finding the Fourth Proportional to 2,063.52, 3,095.39 and 602.78

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Solution

The fourth proportional to 2,063.52, 3,095.39 and 602.78 is: 904.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,063.52 : 3,095.39 = 602.78 : x
  2. Step 2: Convert to fraction form
    2,063.52/3,095.39 = 602.78/x
  3. Step 3: Cross multiply
    2,063.52x = 3,095.39 × 602.78
  4. Step 4: Simplify right side
    2,063.52x = 1,865,843.91
  5. Step 5: Solve for x
    x = 1,865,843.91/2,063.52
  6. Step 6: Final answer
    x = 904.20

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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.