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Finding the Fourth Proportional to 2,784.34, 3,833.63 and 2,363.86

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Solution

The fourth proportional to 2,784.34, 3,833.63 and 2,363.86 is: 3,254.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,784.34 : 3,833.63 = 2,363.86 : x
  2. Step 2: Convert to fraction form
    2,784.34/3,833.63 = 2,363.86/x
  3. Step 3: Cross multiply
    2,784.34x = 3,833.63 × 2,363.86
  4. Step 4: Simplify right side
    2,784.34x = 9,062,165.33
  5. Step 5: Solve for x
    x = 9,062,165.33/2,784.34
  6. Step 6: Final answer
    x = 3,254.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.