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Finding the Fourth Proportional to 1,348.23, 2,021.78 and 423.54

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Solution

The fourth proportional to 1,348.23, 2,021.78 and 423.54 is: 635.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,348.23 : 2,021.78 = 423.54 : x
  2. Step 2: Convert to fraction form
    1,348.23/2,021.78 = 423.54/x
  3. Step 3: Cross multiply
    1,348.23x = 2,021.78 × 423.54
  4. Step 4: Simplify right side
    1,348.23x = 856,302.58
  5. Step 5: Solve for x
    x = 856,302.58/1,348.23
  6. Step 6: Final answer
    x = 635.13

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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.