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Finding the Fourth Proportional to 2,784.72, 4,177.08 and 836.92

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Solution

The fourth proportional to 2,784.72, 4,177.08 and 836.92 is: 1,255.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,784.72 : 4,177.08 = 836.92 : x
  2. Step 2: Convert to fraction form
    2,784.72/4,177.08 = 836.92/x
  3. Step 3: Cross multiply
    2,784.72x = 4,177.08 × 836.92
  4. Step 4: Simplify right side
    2,784.72x = 3,495,881.79
  5. Step 5: Solve for x
    x = 3,495,881.79/2,784.72
  6. Step 6: Final answer
    x = 1,255.38

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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.