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Finding the Fourth Proportional to 2,801.82, 3,866.73 and 1,543.10

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Solution

The fourth proportional to 2,801.82, 3,866.73 and 1,543.10 is: 2,129.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,801.82 : 3,866.73 = 1,543.10 : x
  2. Step 2: Convert to fraction form
    2,801.82/3,866.73 = 1,543.10/x
  3. Step 3: Cross multiply
    2,801.82x = 3,866.73 × 1,543.10
  4. Step 4: Simplify right side
    2,801.82x = 5,966,751.06
  5. Step 5: Solve for x
    x = 5,966,751.06/2,801.82
  6. Step 6: Final answer
    x = 2,129.60

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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.