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Finding the Fourth Proportional to 1,382.22, 2,071.30 and 1,033.92

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Solution

The fourth proportional to 1,382.22, 2,071.30 and 1,033.92 is: 1,549.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,382.22 : 2,071.30 = 1,033.92 : x
  2. Step 2: Convert to fraction form
    1,382.22/2,071.30 = 1,033.92/x
  3. Step 3: Cross multiply
    1,382.22x = 2,071.30 × 1,033.92
  4. Step 4: Simplify right side
    1,382.22x = 2,141,558.50
  5. Step 5: Solve for x
    x = 2,141,558.50/1,382.22
  6. Step 6: Final answer
    x = 1,549.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.