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Finding the Fourth Proportional to 2,784.72, 4,177.89 and 837.21

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Solution

The fourth proportional to 2,784.72, 4,177.89 and 837.21 is: 1,256.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,784.72 : 4,177.89 = 837.21 : x
  2. Step 2: Convert to fraction form
    2,784.72/4,177.89 = 837.21/x
  3. Step 3: Cross multiply
    2,784.72x = 4,177.89 × 837.21
  4. Step 4: Simplify right side
    2,784.72x = 3,497,771.29
  5. Step 5: Solve for x
    x = 3,497,771.29/2,784.72
  6. Step 6: Final answer
    x = 1,256.06

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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.