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Finding the Fourth Proportional to 2,956.92, 4,436.07 and 1,009.14

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Solution

The fourth proportional to 2,956.92, 4,436.07 and 1,009.14 is: 1,513.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,956.92 : 4,436.07 = 1,009.14 : x
  2. Step 2: Convert to fraction form
    2,956.92/4,436.07 = 1,009.14/x
  3. Step 3: Cross multiply
    2,956.92x = 4,436.07 × 1,009.14
  4. Step 4: Simplify right side
    2,956.92x = 4,476,615.68
  5. Step 5: Solve for x
    x = 4,476,615.68/2,956.92
  6. Step 6: Final answer
    x = 1,513.95

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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.