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Finding the Fourth Proportional to 3,465.98, 4,781.38 and 2,270.43

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Solution

The fourth proportional to 3,465.98, 4,781.38 and 2,270.43 is: 3,132.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,465.98 : 4,781.38 = 2,270.43 : x
  2. Step 2: Convert to fraction form
    3,465.98/4,781.38 = 2,270.43/x
  3. Step 3: Cross multiply
    3,465.98x = 4,781.38 × 2,270.43
  4. Step 4: Simplify right side
    3,465.98x = 10,855,788.59
  5. Step 5: Solve for x
    x = 10,855,788.59/3,465.98
  6. Step 6: Final answer
    x = 3,132.10

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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.