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Finding the Fourth Proportional to 1,604.52, 2,214.27 and 905.91

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Solution

The fourth proportional to 1,604.52, 2,214.27 and 905.91 is: 1,250.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,604.52 : 2,214.27 = 905.91 : x
  2. Step 2: Convert to fraction form
    1,604.52/2,214.27 = 905.91/x
  3. Step 3: Cross multiply
    1,604.52x = 2,214.27 × 905.91
  4. Step 4: Simplify right side
    1,604.52x = 2,005,929.34
  5. Step 5: Solve for x
    x = 2,005,929.34/1,604.52
  6. Step 6: Final answer
    x = 1,250.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.