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Finding the Fourth Proportional to 2,802.75, 3,867.90 and 1,543.74

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Solution

The fourth proportional to 2,802.75, 3,867.90 and 1,543.74 is: 2,130.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,802.75 : 3,867.90 = 1,543.74 : x
  2. Step 2: Convert to fraction form
    2,802.75/3,867.90 = 1,543.74/x
  3. Step 3: Cross multiply
    2,802.75x = 3,867.90 × 1,543.74
  4. Step 4: Simplify right side
    2,802.75x = 5,971,031.95
  5. Step 5: Solve for x
    x = 5,971,031.95/2,802.75
  6. Step 6: Final answer
    x = 2,130.42

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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.