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Finding the Fourth Proportional to 2,613, 3,911.78 and 2,289

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Solution

The fourth proportional to 2,613, 3,911.78 and 2,289 is: 3,426.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,613 : 3,911.78 = 2,289 : x
  2. Step 2: Convert to fraction form
    2,613/3,911.78 = 2,289/x
  3. Step 3: Cross multiply
    2,613x = 3,911.78 × 2,289
  4. Step 4: Simplify right side
    2,613x = 8,954,064.42
  5. Step 5: Solve for x
    x = 8,954,064.42/2,613
  6. Step 6: Final answer
    x = 3,426.74

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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.