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Finding the Fourth Proportional to 1,984.64, 2,975.34 and 1,550.48

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Solution

The fourth proportional to 1,984.64, 2,975.34 and 1,550.48 is: 2,324.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,984.64 : 2,975.34 = 1,550.48 : x
  2. Step 2: Convert to fraction form
    1,984.64/2,975.34 = 1,550.48/x
  3. Step 3: Cross multiply
    1,984.64x = 2,975.34 × 1,550.48
  4. Step 4: Simplify right side
    1,984.64x = 4,613,205.16
  5. Step 5: Solve for x
    x = 4,613,205.16/1,984.64
  6. Step 6: Final answer
    x = 2,324.45

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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.