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Finding the Fourth Proportional to 2,041.32, 2,817.04 and 1,109.82

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Solution

The fourth proportional to 2,041.32, 2,817.04 and 1,109.82 is: 1,531.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,041.32 : 2,817.04 = 1,109.82 : x
  2. Step 2: Convert to fraction form
    2,041.32/2,817.04 = 1,109.82/x
  3. Step 3: Cross multiply
    2,041.32x = 2,817.04 × 1,109.82
  4. Step 4: Simplify right side
    2,041.32x = 3,126,407.33
  5. Step 5: Solve for x
    x = 3,126,407.33/2,041.32
  6. Step 6: Final answer
    x = 1,531.56

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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.