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Finding the Fourth Proportional to 2,053.30, 2,832.42 and 1,266.80

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Solution

The fourth proportional to 2,053.30, 2,832.42 and 1,266.80 is: 1,747.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,053.30 : 2,832.42 = 1,266.80 : x
  2. Step 2: Convert to fraction form
    2,053.30/2,832.42 = 1,266.80/x
  3. Step 3: Cross multiply
    2,053.30x = 2,832.42 × 1,266.80
  4. Step 4: Simplify right side
    2,053.30x = 3,588,109.66
  5. Step 5: Solve for x
    x = 3,588,109.66/2,053.30
  6. Step 6: Final answer
    x = 1,747.48

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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.