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Finding the Fourth Proportional to 2,169.93, 3,254.76 and 936.47

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Solution

The fourth proportional to 2,169.93, 3,254.76 and 936.47 is: 1,404.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,169.93 : 3,254.76 = 936.47 : x
  2. Step 2: Convert to fraction form
    2,169.93/3,254.76 = 936.47/x
  3. Step 3: Cross multiply
    2,169.93x = 3,254.76 × 936.47
  4. Step 4: Simplify right side
    2,169.93x = 3,047,993.23
  5. Step 5: Solve for x
    x = 3,047,993.23/2,169.93
  6. Step 6: Final answer
    x = 1,404.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.