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Finding the Fourth Proportional to 1,844.92, 2,765.34 and 921.16

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Solution

The fourth proportional to 1,844.92, 2,765.34 and 921.16 is: 1,380.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,844.92 : 2,765.34 = 921.16 : x
  2. Step 2: Convert to fraction form
    1,844.92/2,765.34 = 921.16/x
  3. Step 3: Cross multiply
    1,844.92x = 2,765.34 × 921.16
  4. Step 4: Simplify right side
    1,844.92x = 2,547,320.59
  5. Step 5: Solve for x
    x = 2,547,320.59/1,844.92
  6. Step 6: Final answer
    x = 1,380.72

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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.