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Finding the Fourth Proportional to 1,603.99, 2,213.99 and 1,014.71

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Solution

The fourth proportional to 1,603.99, 2,213.99 and 1,014.71 is: 1,400.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,603.99 : 2,213.99 = 1,014.71 : x
  2. Step 2: Convert to fraction form
    1,603.99/2,213.99 = 1,014.71/x
  3. Step 3: Cross multiply
    1,603.99x = 2,213.99 × 1,014.71
  4. Step 4: Simplify right side
    1,603.99x = 2,246,562.06
  5. Step 5: Solve for x
    x = 2,246,562.06/1,603.99
  6. Step 6: Final answer
    x = 1,400.61

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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.