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Finding the Fourth Proportional to 1,929.92, 2,893.08 and 1,150.12

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Solution

The fourth proportional to 1,929.92, 2,893.08 and 1,150.12 is: 1,724.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,929.92 : 2,893.08 = 1,150.12 : x
  2. Step 2: Convert to fraction form
    1,929.92/2,893.08 = 1,150.12/x
  3. Step 3: Cross multiply
    1,929.92x = 2,893.08 × 1,150.12
  4. Step 4: Simplify right side
    1,929.92x = 3,327,389.17
  5. Step 5: Solve for x
    x = 3,327,389.17/1,929.92
  6. Step 6: Final answer
    x = 1,724.11

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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.