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Finding the Fourth Proportional to 1,781.19, 2,458.06 and 995.29

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Solution

The fourth proportional to 1,781.19, 2,458.06 and 995.29 is: 1,373.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,781.19 : 2,458.06 = 995.29 : x
  2. Step 2: Convert to fraction form
    1,781.19/2,458.06 = 995.29/x
  3. Step 3: Cross multiply
    1,781.19x = 2,458.06 × 995.29
  4. Step 4: Simplify right side
    1,781.19x = 2,446,473.90
  5. Step 5: Solve for x
    x = 2,446,473.90/1,781.19
  6. Step 6: Final answer
    x = 1,373.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.