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Finding the Fourth Proportional to 2,016.84, 3,026.13 and 1,043.64

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Solution

The fourth proportional to 2,016.84, 3,026.13 and 1,043.64 is: 1,565.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,016.84 : 3,026.13 = 1,043.64 : x
  2. Step 2: Convert to fraction form
    2,016.84/3,026.13 = 1,043.64/x
  3. Step 3: Cross multiply
    2,016.84x = 3,026.13 × 1,043.64
  4. Step 4: Simplify right side
    2,016.84x = 3,158,190.31
  5. Step 5: Solve for x
    x = 3,158,190.31/2,016.84
  6. Step 6: Final answer
    x = 1,565.91

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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.