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Finding the Fourth Proportional to 2,784.86, 4,177.69 and 836.81

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Solution

The fourth proportional to 2,784.86, 4,177.69 and 836.81 is: 1,255.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,784.86 : 4,177.69 = 836.81 : x
  2. Step 2: Convert to fraction form
    2,784.86/4,177.69 = 836.81/x
  3. Step 3: Cross multiply
    2,784.86x = 4,177.69 × 836.81
  4. Step 4: Simplify right side
    2,784.86x = 3,495,909.79
  5. Step 5: Solve for x
    x = 3,495,909.79/2,784.86
  6. Step 6: Final answer
    x = 1,255.33

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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.