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Finding the Fourth Proportional to 2,300.84, 3,452.07 and 984.03

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Solution

The fourth proportional to 2,300.84, 3,452.07 and 984.03 is: 1,476.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,300.84 : 3,452.07 = 984.03 : x
  2. Step 2: Convert to fraction form
    2,300.84/3,452.07 = 984.03/x
  3. Step 3: Cross multiply
    2,300.84x = 3,452.07 × 984.03
  4. Step 4: Simplify right side
    2,300.84x = 3,396,946.61
  5. Step 5: Solve for x
    x = 3,396,946.61/2,300.84
  6. Step 6: Final answer
    x = 1,476.40

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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.