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Finding the Fourth Proportional to 2,956.09, 4,434.59 and 876.42

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Solution

The fourth proportional to 2,956.09, 4,434.59 and 876.42 is: 1,314.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,956.09 : 4,434.59 = 876.42 : x
  2. Step 2: Convert to fraction form
    2,956.09/4,434.59 = 876.42/x
  3. Step 3: Cross multiply
    2,956.09x = 4,434.59 × 876.42
  4. Step 4: Simplify right side
    2,956.09x = 3,886,554.47
  5. Step 5: Solve for x
    x = 3,886,554.47/2,956.09
  6. Step 6: Final answer
    x = 1,314.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.