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Finding the Fourth Proportional to 1,612.70, 2,419.23 and 572.48

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Solution

The fourth proportional to 1,612.70, 2,419.23 and 572.48 is: 858.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,612.70 : 2,419.23 = 572.48 : x
  2. Step 2: Convert to fraction form
    1,612.70/2,419.23 = 572.48/x
  3. Step 3: Cross multiply
    1,612.70x = 2,419.23 × 572.48
  4. Step 4: Simplify right side
    1,612.70x = 1,384,960.79
  5. Step 5: Solve for x
    x = 1,384,960.79/1,612.70
  6. Step 6: Final answer
    x = 858.78

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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.