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Finding the Fourth Proportional to 1,427.01, 2,141.39 and 561.25

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Solution

The fourth proportional to 1,427.01, 2,141.39 and 561.25 is: 842.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,427.01 : 2,141.39 = 561.25 : x
  2. Step 2: Convert to fraction form
    1,427.01/2,141.39 = 561.25/x
  3. Step 3: Cross multiply
    1,427.01x = 2,141.39 × 561.25
  4. Step 4: Simplify right side
    1,427.01x = 1,201,855.14
  5. Step 5: Solve for x
    x = 1,201,855.14/1,427.01
  6. Step 6: Final answer
    x = 842.22

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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.