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Finding the Fourth Proportional to 3,101.56, 4,661.10 and 2,341.24

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Solution

The fourth proportional to 3,101.56, 4,661.10 and 2,341.24 is: 3,518.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,101.56 : 4,661.10 = 2,341.24 : x
  2. Step 2: Convert to fraction form
    3,101.56/4,661.10 = 2,341.24/x
  3. Step 3: Cross multiply
    3,101.56x = 4,661.10 × 2,341.24
  4. Step 4: Simplify right side
    3,101.56x = 10,912,753.76
  5. Step 5: Solve for x
    x = 10,912,753.76/3,101.56
  6. Step 6: Final answer
    x = 3,518.47

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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.