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Finding the Fourth Proportional to 1,627.39, 2,441.06 and 394.81

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Solution

The fourth proportional to 1,627.39, 2,441.06 and 394.81 is: 592.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,627.39 : 2,441.06 = 394.81 : x
  2. Step 2: Convert to fraction form
    1,627.39/2,441.06 = 394.81/x
  3. Step 3: Cross multiply
    1,627.39x = 2,441.06 × 394.81
  4. Step 4: Simplify right side
    1,627.39x = 963,742.99
  5. Step 5: Solve for x
    x = 963,742.99/1,627.39
  6. Step 6: Final answer
    x = 592.20

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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.