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Finding the Fourth Proportional to 1,801.75, 2,703.48 and 1,032.25

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Solution

The fourth proportional to 1,801.75, 2,703.48 and 1,032.25 is: 1,548.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,801.75 : 2,703.48 = 1,032.25 : x
  2. Step 2: Convert to fraction form
    1,801.75/2,703.48 = 1,032.25/x
  3. Step 3: Cross multiply
    1,801.75x = 2,703.48 × 1,032.25
  4. Step 4: Simplify right side
    1,801.75x = 2,790,667.23
  5. Step 5: Solve for x
    x = 2,790,667.23/1,801.75
  6. Step 6: Final answer
    x = 1,548.86

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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.