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Finding the Fourth Proportional to 2,353.95, 3,526.83 and 1,427.31

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Solution

The fourth proportional to 2,353.95, 3,526.83 and 1,427.31 is: 2,138.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,353.95 : 3,526.83 = 1,427.31 : x
  2. Step 2: Convert to fraction form
    2,353.95/3,526.83 = 1,427.31/x
  3. Step 3: Cross multiply
    2,353.95x = 3,526.83 × 1,427.31
  4. Step 4: Simplify right side
    2,353.95x = 5,033,879.73
  5. Step 5: Solve for x
    x = 5,033,879.73/2,353.95
  6. Step 6: Final answer
    x = 2,138.48

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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.