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Finding the Fourth Proportional to 3,141, 4,334.76 and 1,744.20

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Solution

The fourth proportional to 3,141, 4,334.76 and 1,744.20 is: 2,407.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,141 : 4,334.76 = 1,744.20 : x
  2. Step 2: Convert to fraction form
    3,141/4,334.76 = 1,744.20/x
  3. Step 3: Cross multiply
    3,141x = 4,334.76 × 1,744.20
  4. Step 4: Simplify right side
    3,141x = 7,560,688.39
  5. Step 5: Solve for x
    x = 7,560,688.39/3,141
  6. Step 6: Final answer
    x = 2,407.10

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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.