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Finding the Fourth Proportional to 2,041.75, 2,817.64 and 1,110.27

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Solution

The fourth proportional to 2,041.75, 2,817.64 and 1,110.27 is: 1,532.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,041.75 : 2,817.64 = 1,110.27 : x
  2. Step 2: Convert to fraction form
    2,041.75/2,817.64 = 1,110.27/x
  3. Step 3: Cross multiply
    2,041.75x = 2,817.64 × 1,110.27
  4. Step 4: Simplify right side
    2,041.75x = 3,128,335.61
  5. Step 5: Solve for x
    x = 3,128,335.61/2,041.75
  6. Step 6: Final answer
    x = 1,532.18

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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.