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Finding the Fourth Proportional to 1,314.30, 1,970.19 and 1,227.54

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Solution

The fourth proportional to 1,314.30, 1,970.19 and 1,227.54 is: 1,840.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,314.30 : 1,970.19 = 1,227.54 : x
  2. Step 2: Convert to fraction form
    1,314.30/1,970.19 = 1,227.54/x
  3. Step 3: Cross multiply
    1,314.30x = 1,970.19 × 1,227.54
  4. Step 4: Simplify right side
    1,314.30x = 2,418,487.03
  5. Step 5: Solve for x
    x = 2,418,487.03/1,314.30
  6. Step 6: Final answer
    x = 1,840.13

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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.