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Finding the Fourth Proportional to 1,427.06, 2,141.02 and 734.20

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Solution

The fourth proportional to 1,427.06, 2,141.02 and 734.20 is: 1,101.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,427.06 : 2,141.02 = 734.20 : x
  2. Step 2: Convert to fraction form
    1,427.06/2,141.02 = 734.20/x
  3. Step 3: Cross multiply
    1,427.06x = 2,141.02 × 734.20
  4. Step 4: Simplify right side
    1,427.06x = 1,571,936.88
  5. Step 5: Solve for x
    x = 1,571,936.88/1,427.06
  6. Step 6: Final answer
    x = 1,101.52

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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.