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Finding the Fourth Proportional to 1,603.62, 2,212.92 and 904.86

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Solution

The fourth proportional to 1,603.62, 2,212.92 and 904.86 is: 1,248.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,603.62 : 2,212.92 = 904.86 : x
  2. Step 2: Convert to fraction form
    1,603.62/2,212.92 = 904.86/x
  3. Step 3: Cross multiply
    1,603.62x = 2,212.92 × 904.86
  4. Step 4: Simplify right side
    1,603.62x = 2,002,382.79
  5. Step 5: Solve for x
    x = 2,002,382.79/1,603.62
  6. Step 6: Final answer
    x = 1,248.66

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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.