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Finding the Fourth Proportional to 1,627.97, 2,442.08 and 473.81

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Solution

The fourth proportional to 1,627.97, 2,442.08 and 473.81 is: 710.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,627.97 : 2,442.08 = 473.81 : x
  2. Step 2: Convert to fraction form
    1,627.97/2,442.08 = 473.81/x
  3. Step 3: Cross multiply
    1,627.97x = 2,442.08 × 473.81
  4. Step 4: Simplify right side
    1,627.97x = 1,157,081.92
  5. Step 5: Solve for x
    x = 1,157,081.92/1,627.97
  6. Step 6: Final answer
    x = 710.75

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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.