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Finding the Fourth Proportional to 4,601.68, 6,903.14 and 1,480.65

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Solution

The fourth proportional to 4,601.68, 6,903.14 and 1,480.65 is: 2,221.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,601.68 : 6,903.14 = 1,480.65 : x
  2. Step 2: Convert to fraction form
    4,601.68/6,903.14 = 1,480.65/x
  3. Step 3: Cross multiply
    4,601.68x = 6,903.14 × 1,480.65
  4. Step 4: Simplify right side
    4,601.68x = 10,221,134.24
  5. Step 5: Solve for x
    x = 10,221,134.24/4,601.68
  6. Step 6: Final answer
    x = 2,221.17

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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.