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Finding the Fourth Proportional to 1,427.24, 1,969.05 and 867.50

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Solution

The fourth proportional to 1,427.24, 1,969.05 and 867.50 is: 1,196.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,427.24 : 1,969.05 = 867.50 : x
  2. Step 2: Convert to fraction form
    1,427.24/1,969.05 = 867.50/x
  3. Step 3: Cross multiply
    1,427.24x = 1,969.05 × 867.50
  4. Step 4: Simplify right side
    1,427.24x = 1,708,150.88
  5. Step 5: Solve for x
    x = 1,708,150.88/1,427.24
  6. Step 6: Final answer
    x = 1,196.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.