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Finding the Fourth Proportional to 1,658.66, 2,288.34 and 995.38

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Solution

The fourth proportional to 1,658.66, 2,288.34 and 995.38 is: 1,373.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,658.66 : 2,288.34 = 995.38 : x
  2. Step 2: Convert to fraction form
    1,658.66/2,288.34 = 995.38/x
  3. Step 3: Cross multiply
    1,658.66x = 2,288.34 × 995.38
  4. Step 4: Simplify right side
    1,658.66x = 2,277,767.87
  5. Step 5: Solve for x
    x = 2,277,767.87/1,658.66
  6. Step 6: Final answer
    x = 1,373.26

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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.