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Finding the Fourth Proportional to 3,124.34, 4,311.42 and 1,727

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Solution

The fourth proportional to 3,124.34, 4,311.42 and 1,727 is: 2,383.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,124.34 : 4,311.42 = 1,727 : x
  2. Step 2: Convert to fraction form
    3,124.34/4,311.42 = 1,727/x
  3. Step 3: Cross multiply
    3,124.34x = 4,311.42 × 1,727
  4. Step 4: Simplify right side
    3,124.34x = 7,445,822.34
  5. Step 5: Solve for x
    x = 7,445,822.34/3,124.34
  6. Step 6: Final answer
    x = 2,383.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.