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Finding the Fourth Proportional to 2,327.47, 3,491.21 and 596.10

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Solution

The fourth proportional to 2,327.47, 3,491.21 and 596.10 is: 894.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,327.47 : 3,491.21 = 596.10 : x
  2. Step 2: Convert to fraction form
    2,327.47/3,491.21 = 596.10/x
  3. Step 3: Cross multiply
    2,327.47x = 3,491.21 × 596.10
  4. Step 4: Simplify right side
    2,327.47x = 2,081,110.28
  5. Step 5: Solve for x
    x = 2,081,110.28/2,327.47
  6. Step 6: Final answer
    x = 894.15

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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.