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Finding the Fourth Proportional to 1,496.98, 2,065.96 and 867.72

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Solution

The fourth proportional to 1,496.98, 2,065.96 and 867.72 is: 1,197.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,496.98 : 2,065.96 = 867.72 : x
  2. Step 2: Convert to fraction form
    1,496.98/2,065.96 = 867.72/x
  3. Step 3: Cross multiply
    1,496.98x = 2,065.96 × 867.72
  4. Step 4: Simplify right side
    1,496.98x = 1,792,676.52
  5. Step 5: Solve for x
    x = 1,792,676.52/1,496.98
  6. Step 6: Final answer
    x = 1,197.53

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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.