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Finding the Fourth Proportional to 2,285.31, 3,427.38 and 898.66

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Solution

The fourth proportional to 2,285.31, 3,427.38 and 898.66 is: 1,347.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,285.31 : 3,427.38 = 898.66 : x
  2. Step 2: Convert to fraction form
    2,285.31/3,427.38 = 898.66/x
  3. Step 3: Cross multiply
    2,285.31x = 3,427.38 × 898.66
  4. Step 4: Simplify right side
    2,285.31x = 3,080,041.03
  5. Step 5: Solve for x
    x = 3,080,041.03/2,285.31
  6. Step 6: Final answer
    x = 1,347.75

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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.