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Finding the Fourth Proportional to 2,185.62, 3,016.23 and 1,399.74

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Solution

The fourth proportional to 2,185.62, 3,016.23 and 1,399.74 is: 1,931.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,185.62 : 3,016.23 = 1,399.74 : x
  2. Step 2: Convert to fraction form
    2,185.62/3,016.23 = 1,399.74/x
  3. Step 3: Cross multiply
    2,185.62x = 3,016.23 × 1,399.74
  4. Step 4: Simplify right side
    2,185.62x = 4,221,937.78
  5. Step 5: Solve for x
    x = 4,221,937.78/2,185.62
  6. Step 6: Final answer
    x = 1,931.69

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