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Finding the Fourth Proportional to 2,830.92, 4,239.06 and 1,956.12

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Solution

The fourth proportional to 2,830.92, 4,239.06 and 1,956.12 is: 2,929.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,830.92 : 4,239.06 = 1,956.12 : x
  2. Step 2: Convert to fraction form
    2,830.92/4,239.06 = 1,956.12/x
  3. Step 3: Cross multiply
    2,830.92x = 4,239.06 × 1,956.12
  4. Step 4: Simplify right side
    2,830.92x = 8,292,110.05
  5. Step 5: Solve for x
    x = 8,292,110.05/2,830.92
  6. Step 6: Final answer
    x = 2,929.12

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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.