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Finding the Fourth Proportional to 2,785.83, 4,178.76 and 837.91

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Solution

The fourth proportional to 2,785.83, 4,178.76 and 837.91 is: 1,256.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,785.83 : 4,178.76 = 837.91 : x
  2. Step 2: Convert to fraction form
    2,785.83/4,178.76 = 837.91/x
  3. Step 3: Cross multiply
    2,785.83x = 4,178.76 × 837.91
  4. Step 4: Simplify right side
    2,785.83x = 3,501,424.79
  5. Step 5: Solve for x
    x = 3,501,424.79/2,785.83
  6. Step 6: Final answer
    x = 1,256.87

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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.