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Finding the Fourth Proportional to 2,802.52, 3,867.33 and 1,543.75

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Solution

The fourth proportional to 2,802.52, 3,867.33 and 1,543.75 is: 2,130.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,802.52 : 3,867.33 = 1,543.75 : x
  2. Step 2: Convert to fraction form
    2,802.52/3,867.33 = 1,543.75/x
  3. Step 3: Cross multiply
    2,802.52x = 3,867.33 × 1,543.75
  4. Step 4: Simplify right side
    2,802.52x = 5,970,190.69
  5. Step 5: Solve for x
    x = 5,970,190.69/2,802.52
  6. Step 6: Final answer
    x = 2,130.29

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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.