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Finding the Fourth Proportional to 1,496.34, 2,064.69 and 866.97

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Solution

The fourth proportional to 1,496.34, 2,064.69 and 866.97 is: 1,196.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,496.34 : 2,064.69 = 866.97 : x
  2. Step 2: Convert to fraction form
    1,496.34/2,064.69 = 866.97/x
  3. Step 3: Cross multiply
    1,496.34x = 2,064.69 × 866.97
  4. Step 4: Simplify right side
    1,496.34x = 1,790,024.29
  5. Step 5: Solve for x
    x = 1,790,024.29/1,496.34
  6. Step 6: Final answer
    x = 1,196.27

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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.