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Finding the Fourth Proportional to 3,305.66, 4,960.10 and 1,456.53

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Solution

The fourth proportional to 3,305.66, 4,960.10 and 1,456.53 is: 2,185.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,305.66 : 4,960.10 = 1,456.53 : x
  2. Step 2: Convert to fraction form
    3,305.66/4,960.10 = 1,456.53/x
  3. Step 3: Cross multiply
    3,305.66x = 4,960.10 × 1,456.53
  4. Step 4: Simplify right side
    3,305.66x = 7,224,527.17
  5. Step 5: Solve for x
    x = 7,224,527.17/3,305.66
  6. Step 6: Final answer
    x = 2,185.51

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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.