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Finding the Fourth Proportional to 1,496.82, 2,246.19 and 572.46

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Solution

The fourth proportional to 1,496.82, 2,246.19 and 572.46 is: 859.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,496.82 : 2,246.19 = 572.46 : x
  2. Step 2: Convert to fraction form
    1,496.82/2,246.19 = 572.46/x
  3. Step 3: Cross multiply
    1,496.82x = 2,246.19 × 572.46
  4. Step 4: Simplify right side
    1,496.82x = 1,285,853.93
  5. Step 5: Solve for x
    x = 1,285,853.93/1,496.82
  6. Step 6: Final answer
    x = 859.06

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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.