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Finding the Fourth Proportional to 1,456.82, 2,185.22 and 591.12

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Solution

The fourth proportional to 1,456.82, 2,185.22 and 591.12 is: 886.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,456.82 : 2,185.22 = 591.12 : x
  2. Step 2: Convert to fraction form
    1,456.82/2,185.22 = 591.12/x
  3. Step 3: Cross multiply
    1,456.82x = 2,185.22 × 591.12
  4. Step 4: Simplify right side
    1,456.82x = 1,291,727.25
  5. Step 5: Solve for x
    x = 1,291,727.25/1,456.82
  6. Step 6: Final answer
    x = 886.68

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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.