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Finding the Fourth Proportional to 2,802.48, 3,867.28 and 1,543.29

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Solution

The fourth proportional to 2,802.48, 3,867.28 and 1,543.29 is: 2,129.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,802.48 : 3,867.28 = 1,543.29 : x
  2. Step 2: Convert to fraction form
    2,802.48/3,867.28 = 1,543.29/x
  3. Step 3: Cross multiply
    2,802.48x = 3,867.28 × 1,543.29
  4. Step 4: Simplify right side
    2,802.48x = 5,968,336.50
  5. Step 5: Solve for x
    x = 5,968,336.50/2,802.48
  6. Step 6: Final answer
    x = 2,129.66

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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.