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Finding the Fourth Proportional to 2,282.88, 3,421.89 and 984.45

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Solution

The fourth proportional to 2,282.88, 3,421.89 and 984.45 is: 1,475.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,282.88 : 3,421.89 = 984.45 : x
  2. Step 2: Convert to fraction form
    2,282.88/3,421.89 = 984.45/x
  3. Step 3: Cross multiply
    2,282.88x = 3,421.89 × 984.45
  4. Step 4: Simplify right side
    2,282.88x = 3,368,679.61
  5. Step 5: Solve for x
    x = 3,368,679.61/2,282.88
  6. Step 6: Final answer
    x = 1,475.63

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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.