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Finding the Fourth Proportional to 2,188.66, 3,020.25 and 1,193.86

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Solution

The fourth proportional to 2,188.66, 3,020.25 and 1,193.86 is: 1,647.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,188.66 : 3,020.25 = 1,193.86 : x
  2. Step 2: Convert to fraction form
    2,188.66/3,020.25 = 1,193.86/x
  3. Step 3: Cross multiply
    2,188.66x = 3,020.25 × 1,193.86
  4. Step 4: Simplify right side
    2,188.66x = 3,605,755.67
  5. Step 5: Solve for x
    x = 3,605,755.67/2,188.66
  6. Step 6: Final answer
    x = 1,647.47

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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.