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Finding the Fourth Proportional to 1,767.38, 2,649.05 and 841.62

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Solution

The fourth proportional to 1,767.38, 2,649.05 and 841.62 is: 1,261.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,767.38 : 2,649.05 = 841.62 : x
  2. Step 2: Convert to fraction form
    1,767.38/2,649.05 = 841.62/x
  3. Step 3: Cross multiply
    1,767.38x = 2,649.05 × 841.62
  4. Step 4: Simplify right side
    1,767.38x = 2,229,489.25
  5. Step 5: Solve for x
    x = 2,229,489.25/1,767.38
  6. Step 6: Final answer
    x = 1,261.47

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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.