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Finding the Fourth Proportional to 2,282.67, 3,145.01 and 1,713.11

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Solution

The fourth proportional to 2,282.67, 3,145.01 and 1,713.11 is: 2,360.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,282.67 : 3,145.01 = 1,713.11 : x
  2. Step 2: Convert to fraction form
    2,282.67/3,145.01 = 1,713.11/x
  3. Step 3: Cross multiply
    2,282.67x = 3,145.01 × 1,713.11
  4. Step 4: Simplify right side
    2,282.67x = 5,387,723.79
  5. Step 5: Solve for x
    x = 5,387,723.79/2,282.67
  6. Step 6: Final answer
    x = 2,360.27

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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.