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Finding the Fourth Proportional to 2,984.01, 4,473.27 and 1,502.31

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Solution

The fourth proportional to 2,984.01, 4,473.27 and 1,502.31 is: 2,252.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,984.01 : 4,473.27 = 1,502.31 : x
  2. Step 2: Convert to fraction form
    2,984.01/4,473.27 = 1,502.31/x
  3. Step 3: Cross multiply
    2,984.01x = 4,473.27 × 1,502.31
  4. Step 4: Simplify right side
    2,984.01x = 6,720,238.25
  5. Step 5: Solve for x
    x = 6,720,238.25/2,984.01
  6. Step 6: Final answer
    x = 2,252.08

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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.