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Finding the Fourth Proportional to 2,347.17, 3,520.57 and 960.13

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Solution

The fourth proportional to 2,347.17, 3,520.57 and 960.13 is: 1,440.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,347.17 : 3,520.57 = 960.13 : x
  2. Step 2: Convert to fraction form
    2,347.17/3,520.57 = 960.13/x
  3. Step 3: Cross multiply
    2,347.17x = 3,520.57 × 960.13
  4. Step 4: Simplify right side
    2,347.17x = 3,380,204.87
  5. Step 5: Solve for x
    x = 3,380,204.87/2,347.17
  6. Step 6: Final answer
    x = 1,440.12

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1.5x scale

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.