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Finding the Fourth Proportional to 1,423.48, 2,135.22 and 397.48

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Solution

The fourth proportional to 1,423.48, 2,135.22 and 397.48 is: 596.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,423.48 : 2,135.22 = 397.48 : x
  2. Step 2: Convert to fraction form
    1,423.48/2,135.22 = 397.48/x
  3. Step 3: Cross multiply
    1,423.48x = 2,135.22 × 397.48
  4. Step 4: Simplify right side
    1,423.48x = 848,707.25
  5. Step 5: Solve for x
    x = 848,707.25/1,423.48
  6. Step 6: Final answer
    x = 596.22

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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.