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Finding the Fourth Proportional to 2,897.39, 3,998.63 and 2,424.44

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Solution

The fourth proportional to 2,897.39, 3,998.63 and 2,424.44 is: 3,345.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,897.39 : 3,998.63 = 2,424.44 : x
  2. Step 2: Convert to fraction form
    2,897.39/3,998.63 = 2,424.44/x
  3. Step 3: Cross multiply
    2,897.39x = 3,998.63 × 2,424.44
  4. Step 4: Simplify right side
    2,897.39x = 9,694,454.57
  5. Step 5: Solve for x
    x = 9,694,454.57/2,897.39
  6. Step 6: Final answer
    x = 3,345.92

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1.5x scale

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.