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Finding the Fourth Proportional to 3,141.68, 4,335.54 and 1,744.46

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Solution

The fourth proportional to 3,141.68, 4,335.54 and 1,744.46 is: 2,407.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,141.68 : 4,335.54 = 1,744.46 : x
  2. Step 2: Convert to fraction form
    3,141.68/4,335.54 = 1,744.46/x
  3. Step 3: Cross multiply
    3,141.68x = 4,335.54 × 1,744.46
  4. Step 4: Simplify right side
    3,141.68x = 7,563,176.11
  5. Step 5: Solve for x
    x = 7,563,176.11/3,141.68
  6. Step 6: Final answer
    x = 2,407.37

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1.5x scale

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.