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Finding the Fourth Proportional to 2,956.24, 4,434.33 and 876.26

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Solution

The fourth proportional to 2,956.24, 4,434.33 and 876.26 is: 1,314.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,956.24 : 4,434.33 = 876.26 : x
  2. Step 2: Convert to fraction form
    2,956.24/4,434.33 = 876.26/x
  3. Step 3: Cross multiply
    2,956.24x = 4,434.33 × 876.26
  4. Step 4: Simplify right side
    2,956.24x = 3,885,626.01
  5. Step 5: Solve for x
    x = 3,885,626.01/2,956.24
  6. Step 6: Final answer
    x = 1,314.38

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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.