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Finding the Fourth Proportional to 1,603.06, 2,212.14 and 894.95

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Solution

The fourth proportional to 1,603.06, 2,212.14 and 894.95 is: 1,234.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,603.06 : 2,212.14 = 894.95 : x
  2. Step 2: Convert to fraction form
    1,603.06/2,212.14 = 894.95/x
  3. Step 3: Cross multiply
    1,603.06x = 2,212.14 × 894.95
  4. Step 4: Simplify right side
    1,603.06x = 1,979,755.28
  5. Step 5: Solve for x
    x = 1,979,755.28/1,603.06
  6. Step 6: Final answer
    x = 1,234.99

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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.