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Finding the Fourth Proportional to 1,778.29, 2,454.06 and 992.33

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Solution

The fourth proportional to 1,778.29, 2,454.06 and 992.33 is: 1,369.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,778.29 : 2,454.06 = 992.33 : x
  2. Step 2: Convert to fraction form
    1,778.29/2,454.06 = 992.33/x
  3. Step 3: Cross multiply
    1,778.29x = 2,454.06 × 992.33
  4. Step 4: Simplify right side
    1,778.29x = 2,435,237.36
  5. Step 5: Solve for x
    x = 2,435,237.36/1,778.29
  6. Step 6: Final answer
    x = 1,369.43

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1.5x scale

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.