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Finding the Fourth Proportional to 2,289, 3,158.86 and 1,241.08

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Solution

The fourth proportional to 2,289, 3,158.86 and 1,241.08 is: 1,712.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,289 : 3,158.86 = 1,241.08 : x
  2. Step 2: Convert to fraction form
    2,289/3,158.86 = 1,241.08/x
  3. Step 3: Cross multiply
    2,289x = 3,158.86 × 1,241.08
  4. Step 4: Simplify right side
    2,289x = 3,920,397.97
  5. Step 5: Solve for x
    x = 3,920,397.97/2,289
  6. Step 6: Final answer
    x = 1,712.71

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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.