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Finding the Fourth Proportional to 2,185.86, 3,016.56 and 1,399.50

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Solution

The fourth proportional to 2,185.86, 3,016.56 and 1,399.50 is: 1,931.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,185.86 : 3,016.56 = 1,399.50 : x
  2. Step 2: Convert to fraction form
    2,185.86/3,016.56 = 1,399.50/x
  3. Step 3: Cross multiply
    2,185.86x = 3,016.56 × 1,399.50
  4. Step 4: Simplify right side
    2,185.86x = 4,221,675.72
  5. Step 5: Solve for x
    x = 4,221,675.72/2,185.86
  6. Step 6: Final answer
    x = 1,931.36

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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.