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Finding the Fourth Proportional to 1,627.91, 2,442.23 and 473.75

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Solution

The fourth proportional to 1,627.91, 2,442.23 and 473.75 is: 710.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,627.91 : 2,442.23 = 473.75 : x
  2. Step 2: Convert to fraction form
    1,627.91/2,442.23 = 473.75/x
  3. Step 3: Cross multiply
    1,627.91x = 2,442.23 × 473.75
  4. Step 4: Simplify right side
    1,627.91x = 1,157,004.09
  5. Step 5: Solve for x
    x = 1,157,004.09/1,627.91
  6. Step 6: Final answer
    x = 710.73

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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.