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Finding the Fourth Proportional to 2,733.90, 4,100.17 and 1,548.82

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Solution

The fourth proportional to 2,733.90, 4,100.17 and 1,548.82 is: 2,322.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,733.90 : 4,100.17 = 1,548.82 : x
  2. Step 2: Convert to fraction form
    2,733.90/4,100.17 = 1,548.82/x
  3. Step 3: Cross multiply
    2,733.90x = 4,100.17 × 1,548.82
  4. Step 4: Simplify right side
    2,733.90x = 6,350,429.46
  5. Step 5: Solve for x
    x = 6,350,429.46/2,733.90
  6. Step 6: Final answer
    x = 2,322.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.