Home / 1,427.06-2,138.70-733.70

Finding the Fourth Proportional to 1,427.06, 2,138.70 and 733.70

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Solution

The fourth proportional to 1,427.06, 2,138.70 and 733.70 is: 1,099.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,427.06 : 2,138.70 = 733.70 : x
  2. Step 2: Convert to fraction form
    1,427.06/2,138.70 = 733.70/x
  3. Step 3: Cross multiply
    1,427.06x = 2,138.70 × 733.70
  4. Step 4: Simplify right side
    1,427.06x = 1,569,164.19
  5. Step 5: Solve for x
    x = 1,569,164.19/1,427.06
  6. Step 6: Final answer
    x = 1,099.58

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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.