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Finding the Fourth Proportional to 1,593.23, 2,389.44 and 497.57

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Solution

The fourth proportional to 1,593.23, 2,389.44 and 497.57 is: 746.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,593.23 : 2,389.44 = 497.57 : x
  2. Step 2: Convert to fraction form
    1,593.23/2,389.44 = 497.57/x
  3. Step 3: Cross multiply
    1,593.23x = 2,389.44 × 497.57
  4. Step 4: Simplify right side
    1,593.23x = 1,188,913.66
  5. Step 5: Solve for x
    x = 1,188,913.66/1,593.23
  6. Step 6: Final answer
    x = 746.23

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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.