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Finding the Fourth Proportional to 2,119.46, 3,166.17 and 1,529.42

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Solution

The fourth proportional to 2,119.46, 3,166.17 and 1,529.42 is: 2,284.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,119.46 : 3,166.17 = 1,529.42 : x
  2. Step 2: Convert to fraction form
    2,119.46/3,166.17 = 1,529.42/x
  3. Step 3: Cross multiply
    2,119.46x = 3,166.17 × 1,529.42
  4. Step 4: Simplify right side
    2,119.46x = 4,842,387.89
  5. Step 5: Solve for x
    x = 4,842,387.89/2,119.46
  6. Step 6: Final answer
    x = 2,284.73

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.