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Finding the Fourth Proportional to 1,603.84, 2,212.86 and 1,014.62

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Solution

The fourth proportional to 1,603.84, 2,212.86 and 1,014.62 is: 1,399.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,603.84 : 2,212.86 = 1,014.62 : x
  2. Step 2: Convert to fraction form
    1,603.84/2,212.86 = 1,014.62/x
  3. Step 3: Cross multiply
    1,603.84x = 2,212.86 × 1,014.62
  4. Step 4: Simplify right side
    1,603.84x = 2,245,212.01
  5. Step 5: Solve for x
    x = 2,245,212.01/1,603.84
  6. Step 6: Final answer
    x = 1,399.90

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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.