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Finding the Fourth Proportional to 2,894.97, 4,342.45 and 814.97

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Solution

The fourth proportional to 2,894.97, 4,342.45 and 814.97 is: 1,222.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,894.97 : 4,342.45 = 814.97 : x
  2. Step 2: Convert to fraction form
    2,894.97/4,342.45 = 814.97/x
  3. Step 3: Cross multiply
    2,894.97x = 4,342.45 × 814.97
  4. Step 4: Simplify right side
    2,894.97x = 3,538,961.10
  5. Step 5: Solve for x
    x = 3,538,961.10/2,894.97
  6. Step 6: Final answer
    x = 1,222.45

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1.5x scale

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.