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Finding the Fourth Proportional to 1,604.37, 2,214.02 and 905.74

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Solution

The fourth proportional to 1,604.37, 2,214.02 and 905.74 is: 1,249.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,604.37 : 2,214.02 = 905.74 : x
  2. Step 2: Convert to fraction form
    1,604.37/2,214.02 = 905.74/x
  3. Step 3: Cross multiply
    1,604.37x = 2,214.02 × 905.74
  4. Step 4: Simplify right side
    1,604.37x = 2,005,326.47
  5. Step 5: Solve for x
    x = 2,005,326.47/1,604.37
  6. Step 6: Final answer
    x = 1,249.92

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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.