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Finding the Fourth Proportional to 1,627.48, 2,441.20 and 394.89

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Solution

The fourth proportional to 1,627.48, 2,441.20 and 394.89 is: 592.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,627.48 : 2,441.20 = 394.89 : x
  2. Step 2: Convert to fraction form
    1,627.48/2,441.20 = 394.89/x
  3. Step 3: Cross multiply
    1,627.48x = 2,441.20 × 394.89
  4. Step 4: Simplify right side
    1,627.48x = 964,005.47
  5. Step 5: Solve for x
    x = 964,005.47/1,627.48
  6. Step 6: Final answer
    x = 592.33

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