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Finding the Fourth Proportional to 1,364.91, 2,043.10 and 1,016.20

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Solution

The fourth proportional to 1,364.91, 2,043.10 and 1,016.20 is: 1,521.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,364.91 : 2,043.10 = 1,016.20 : x
  2. Step 2: Convert to fraction form
    1,364.91/2,043.10 = 1,016.20/x
  3. Step 3: Cross multiply
    1,364.91x = 2,043.10 × 1,016.20
  4. Step 4: Simplify right side
    1,364.91x = 2,076,198.22
  5. Step 5: Solve for x
    x = 2,076,198.22/1,364.91
  6. Step 6: Final answer
    x = 1,521.12

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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.