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Finding the Fourth Proportional to 2,252.43, 3,378.65 and 790.78

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Solution

The fourth proportional to 2,252.43, 3,378.65 and 790.78 is: 1,186.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,252.43 : 3,378.65 = 790.78 : x
  2. Step 2: Convert to fraction form
    2,252.43/3,378.65 = 790.78/x
  3. Step 3: Cross multiply
    2,252.43x = 3,378.65 × 790.78
  4. Step 4: Simplify right side
    2,252.43x = 2,671,768.85
  5. Step 5: Solve for x
    x = 2,671,768.85/2,252.43
  6. Step 6: Final answer
    x = 1,186.17

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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.