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Finding the Fourth Proportional to 2,753.98, 3,798.91 and 1,758.14

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Solution

The fourth proportional to 2,753.98, 3,798.91 and 1,758.14 is: 2,425.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,753.98 : 3,798.91 = 1,758.14 : x
  2. Step 2: Convert to fraction form
    2,753.98/3,798.91 = 1,758.14/x
  3. Step 3: Cross multiply
    2,753.98x = 3,798.91 × 1,758.14
  4. Step 4: Simplify right side
    2,753.98x = 6,679,015.63
  5. Step 5: Solve for x
    x = 6,679,015.63/2,753.98
  6. Step 6: Final answer
    x = 2,425.22

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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.