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Finding the Fourth Proportional to 1,496.82, 2,065.37 and 867.45

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Solution

The fourth proportional to 1,496.82, 2,065.37 and 867.45 is: 1,196.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,496.82 : 2,065.37 = 867.45 : x
  2. Step 2: Convert to fraction form
    1,496.82/2,065.37 = 867.45/x
  3. Step 3: Cross multiply
    1,496.82x = 2,065.37 × 867.45
  4. Step 4: Simplify right side
    1,496.82x = 1,791,600.87
  5. Step 5: Solve for x
    x = 1,791,600.87/1,496.82
  6. Step 6: Final answer
    x = 1,196.94

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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.