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Finding the Fourth Proportional to 2,342.15, 3,512.85 and 782.09

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Solution

The fourth proportional to 2,342.15, 3,512.85 and 782.09 is: 1,173.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,342.15 : 3,512.85 = 782.09 : x
  2. Step 2: Convert to fraction form
    2,342.15/3,512.85 = 782.09/x
  3. Step 3: Cross multiply
    2,342.15x = 3,512.85 × 782.09
  4. Step 4: Simplify right side
    2,342.15x = 2,747,364.86
  5. Step 5: Solve for x
    x = 2,747,364.86/2,342.15
  6. Step 6: Final answer
    x = 1,173.01

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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.