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Finding the Fourth Proportional to 2,041.82, 2,817.74 and 1,110.32

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Solution

The fourth proportional to 2,041.82, 2,817.74 and 1,110.32 is: 1,532.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,041.82 : 2,817.74 = 1,110.32 : x
  2. Step 2: Convert to fraction form
    2,041.82/2,817.74 = 1,110.32/x
  3. Step 3: Cross multiply
    2,041.82x = 2,817.74 × 1,110.32
  4. Step 4: Simplify right side
    2,041.82x = 3,128,593.08
  5. Step 5: Solve for x
    x = 3,128,593.08/2,041.82
  6. Step 6: Final answer
    x = 1,532.26

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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.