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Finding the Fourth Proportional to 1,723.91, 2,586.26 and 491.33

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Solution

The fourth proportional to 1,723.91, 2,586.26 and 491.33 is: 737.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,723.91 : 2,586.26 = 491.33 : x
  2. Step 2: Convert to fraction form
    1,723.91/2,586.26 = 491.33/x
  3. Step 3: Cross multiply
    1,723.91x = 2,586.26 × 491.33
  4. Step 4: Simplify right side
    1,723.91x = 1,270,714.82
  5. Step 5: Solve for x
    x = 1,270,714.82/1,723.91
  6. Step 6: Final answer
    x = 737.11

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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.