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Finding the Fourth Proportional to 1,781.16, 2,671.39 and 611.11

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Solution

The fourth proportional to 1,781.16, 2,671.39 and 611.11 is: 916.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,781.16 : 2,671.39 = 611.11 : x
  2. Step 2: Convert to fraction form
    1,781.16/2,671.39 = 611.11/x
  3. Step 3: Cross multiply
    1,781.16x = 2,671.39 × 611.11
  4. Step 4: Simplify right side
    1,781.16x = 1,632,513.14
  5. Step 5: Solve for x
    x = 1,632,513.14/1,781.16
  6. Step 6: Final answer
    x = 916.54

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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.