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Finding the Fourth Proportional to 1,840.34, 2,758.06 and 1,351.10

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Solution

The fourth proportional to 1,840.34, 2,758.06 and 1,351.10 is: 2,024.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,840.34 : 2,758.06 = 1,351.10 : x
  2. Step 2: Convert to fraction form
    1,840.34/2,758.06 = 1,351.10/x
  3. Step 3: Cross multiply
    1,840.34x = 2,758.06 × 1,351.10
  4. Step 4: Simplify right side
    1,840.34x = 3,726,414.87
  5. Step 5: Solve for x
    x = 3,726,414.87/1,840.34
  6. Step 6: Final answer
    x = 2,024.85

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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.