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Finding the Fourth Proportional to 2,897.43, 4,346.49 and 1,049.42

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Solution

The fourth proportional to 2,897.43, 4,346.49 and 1,049.42 is: 1,574.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,897.43 : 4,346.49 = 1,049.42 : x
  2. Step 2: Convert to fraction form
    2,897.43/4,346.49 = 1,049.42/x
  3. Step 3: Cross multiply
    2,897.43x = 4,346.49 × 1,049.42
  4. Step 4: Simplify right side
    2,897.43x = 4,561,293.54
  5. Step 5: Solve for x
    x = 4,561,293.54/2,897.43
  6. Step 6: Final answer
    x = 1,574.25

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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.