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Finding the Fourth Proportional to 2,109.79, 3,165.29 and 876.97

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Solution

The fourth proportional to 2,109.79, 3,165.29 and 876.97 is: 1,315.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,109.79 : 3,165.29 = 876.97 : x
  2. Step 2: Convert to fraction form
    2,109.79/3,165.29 = 876.97/x
  3. Step 3: Cross multiply
    2,109.79x = 3,165.29 × 876.97
  4. Step 4: Simplify right side
    2,109.79x = 2,775,864.37
  5. Step 5: Solve for x
    x = 2,775,864.37/2,109.79
  6. Step 6: Final answer
    x = 1,315.71

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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.