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Finding the Fourth Proportional to 2,785.23, 4,178.52 and 837.45

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Solution

The fourth proportional to 2,785.23, 4,178.52 and 837.45 is: 1,256.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,785.23 : 4,178.52 = 837.45 : x
  2. Step 2: Convert to fraction form
    2,785.23/4,178.52 = 837.45/x
  3. Step 3: Cross multiply
    2,785.23x = 4,178.52 × 837.45
  4. Step 4: Simplify right side
    2,785.23x = 3,499,301.57
  5. Step 5: Solve for x
    x = 3,499,301.57/2,785.23
  6. Step 6: Final answer
    x = 1,256.38

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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.