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Finding the Fourth Proportional to 2,327.86, 3,492.83 and 1,159.03

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Solution

The fourth proportional to 2,327.86, 3,492.83 and 1,159.03 is: 1,739.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,327.86 : 3,492.83 = 1,159.03 : x
  2. Step 2: Convert to fraction form
    2,327.86/3,492.83 = 1,159.03/x
  3. Step 3: Cross multiply
    2,327.86x = 3,492.83 × 1,159.03
  4. Step 4: Simplify right side
    2,327.86x = 4,048,294.75
  5. Step 5: Solve for x
    x = 4,048,294.75/2,327.86
  6. Step 6: Final answer
    x = 1,739.06

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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.