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Finding the Fourth Proportional to 2,185.64, 3,019.07 and 1,619.61

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Solution

The fourth proportional to 2,185.64, 3,019.07 and 1,619.61 is: 2,237.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,185.64 : 3,019.07 = 1,619.61 : x
  2. Step 2: Convert to fraction form
    2,185.64/3,019.07 = 1,619.61/x
  3. Step 3: Cross multiply
    2,185.64x = 3,019.07 × 1,619.61
  4. Step 4: Simplify right side
    2,185.64x = 4,889,707.86
  5. Step 5: Solve for x
    x = 4,889,707.86/2,185.64
  6. Step 6: Final answer
    x = 2,237.20

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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.