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Finding the Fourth Proportional to 2,754.76, 3,802.26 and 2,343.88

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Solution

The fourth proportional to 2,754.76, 3,802.26 and 2,343.88 is: 3,235.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,754.76 : 3,802.26 = 2,343.88 : x
  2. Step 2: Convert to fraction form
    2,754.76/3,802.26 = 2,343.88/x
  3. Step 3: Cross multiply
    2,754.76x = 3,802.26 × 2,343.88
  4. Step 4: Simplify right side
    2,754.76x = 8,912,041.17
  5. Step 5: Solve for x
    x = 8,912,041.17/2,754.76
  6. Step 6: Final answer
    x = 3,235.14

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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.