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Finding the Fourth Proportional to 2,016.54, 2,784.15 and 1,552.86

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Solution

The fourth proportional to 2,016.54, 2,784.15 and 1,552.86 is: 2,143.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,016.54 : 2,784.15 = 1,552.86 : x
  2. Step 2: Convert to fraction form
    2,016.54/2,784.15 = 1,552.86/x
  3. Step 3: Cross multiply
    2,016.54x = 2,784.15 × 1,552.86
  4. Step 4: Simplify right side
    2,016.54x = 4,323,395.17
  5. Step 5: Solve for x
    x = 4,323,395.17/2,016.54
  6. Step 6: Final answer
    x = 2,143.97

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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.