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Finding the Fourth Proportional to 2,064.92, 3,098.61 and 767.30

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Solution

The fourth proportional to 2,064.92, 3,098.61 and 767.30 is: 1,151.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,064.92 : 3,098.61 = 767.30 : x
  2. Step 2: Convert to fraction form
    2,064.92/3,098.61 = 767.30/x
  3. Step 3: Cross multiply
    2,064.92x = 3,098.61 × 767.30
  4. Step 4: Simplify right side
    2,064.92x = 2,377,547.96
  5. Step 5: Solve for x
    x = 2,377,547.96/2,064.92
  6. Step 6: Final answer
    x = 1,151.40

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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.