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Finding the Fourth Proportional to 2,017.96, 2,785.08 and 1,231.87

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Solution

The fourth proportional to 2,017.96, 2,785.08 and 1,231.87 is: 1,700.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,017.96 : 2,785.08 = 1,231.87 : x
  2. Step 2: Convert to fraction form
    2,017.96/2,785.08 = 1,231.87/x
  3. Step 3: Cross multiply
    2,017.96x = 2,785.08 × 1,231.87
  4. Step 4: Simplify right side
    2,017.96x = 3,430,856.50
  5. Step 5: Solve for x
    x = 3,430,856.50/2,017.96
  6. Step 6: Final answer
    x = 1,700.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.