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Finding the Fourth Proportional to 1,753.95, 2,631.33 and 1,442.12

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Solution

The fourth proportional to 1,753.95, 2,631.33 and 1,442.12 is: 2,163.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,753.95 : 2,631.33 = 1,442.12 : x
  2. Step 2: Convert to fraction form
    1,753.95/2,631.33 = 1,442.12/x
  3. Step 3: Cross multiply
    1,753.95x = 2,631.33 × 1,442.12
  4. Step 4: Simplify right side
    1,753.95x = 3,794,680.46
  5. Step 5: Solve for x
    x = 3,794,680.46/1,753.95
  6. Step 6: Final answer
    x = 2,163.51

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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.