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Finding the Fourth Proportional to 2,348.84, 3,238.44 and 1,760.24

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Solution

The fourth proportional to 2,348.84, 3,238.44 and 1,760.24 is: 2,426.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,348.84 : 3,238.44 = 1,760.24 : x
  2. Step 2: Convert to fraction form
    2,348.84/3,238.44 = 1,760.24/x
  3. Step 3: Cross multiply
    2,348.84x = 3,238.44 × 1,760.24
  4. Step 4: Simplify right side
    2,348.84x = 5,700,431.63
  5. Step 5: Solve for x
    x = 5,700,431.63/2,348.84
  6. Step 6: Final answer
    x = 2,426.91

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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.