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Finding the Fourth Proportional to 2,873.83, 4,316.21 and 1,785.80

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Solution

The fourth proportional to 2,873.83, 4,316.21 and 1,785.80 is: 2,682.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,873.83 : 4,316.21 = 1,785.80 : x
  2. Step 2: Convert to fraction form
    2,873.83/4,316.21 = 1,785.80/x
  3. Step 3: Cross multiply
    2,873.83x = 4,316.21 × 1,785.80
  4. Step 4: Simplify right side
    2,873.83x = 7,707,877.12
  5. Step 5: Solve for x
    x = 7,707,877.12/2,873.83
  6. Step 6: Final answer
    x = 2,682.09

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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.