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Finding the Fourth Proportional to 2,984.93, 4,471.88 and 1,502.43

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Solution

The fourth proportional to 2,984.93, 4,471.88 and 1,502.43 is: 2,250.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,984.93 : 4,471.88 = 1,502.43 : x
  2. Step 2: Convert to fraction form
    2,984.93/4,471.88 = 1,502.43/x
  3. Step 3: Cross multiply
    2,984.93x = 4,471.88 × 1,502.43
  4. Step 4: Simplify right side
    2,984.93x = 6,718,679.16
  5. Step 5: Solve for x
    x = 6,718,679.16/2,984.93
  6. Step 6: Final answer
    x = 2,250.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.