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Finding the Fourth Proportional to 2,300.80, 3,451.65 and 984.55

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Solution

The fourth proportional to 2,300.80, 3,451.65 and 984.55 is: 1,477.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,300.80 : 3,451.65 = 984.55 : x
  2. Step 2: Convert to fraction form
    2,300.80/3,451.65 = 984.55/x
  3. Step 3: Cross multiply
    2,300.80x = 3,451.65 × 984.55
  4. Step 4: Simplify right side
    2,300.80x = 3,398,322.01
  5. Step 5: Solve for x
    x = 3,398,322.01/2,300.80
  6. Step 6: Final answer
    x = 1,477.02

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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.