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Finding the Fourth Proportional to 1,604.72, 2,214.62 and 906.14

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Solution

The fourth proportional to 1,604.72, 2,214.62 and 906.14 is: 1,250.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,604.72 : 2,214.62 = 906.14 : x
  2. Step 2: Convert to fraction form
    1,604.72/2,214.62 = 906.14/x
  3. Step 3: Cross multiply
    1,604.72x = 2,214.62 × 906.14
  4. Step 4: Simplify right side
    1,604.72x = 2,006,740.16
  5. Step 5: Solve for x
    x = 2,006,740.16/1,604.72
  6. Step 6: Final answer
    x = 1,250.53

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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.