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Finding the Fourth Proportional to 2,011.90, 3,017.53 and 1,231.63

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Solution

The fourth proportional to 2,011.90, 3,017.53 and 1,231.63 is: 1,847.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,011.90 : 3,017.53 = 1,231.63 : x
  2. Step 2: Convert to fraction form
    2,011.90/3,017.53 = 1,231.63/x
  3. Step 3: Cross multiply
    2,011.90x = 3,017.53 × 1,231.63
  4. Step 4: Simplify right side
    2,011.90x = 3,716,480.47
  5. Step 5: Solve for x
    x = 3,716,480.47/2,011.90
  6. Step 6: Final answer
    x = 1,847.25

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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.