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Finding the Fourth Proportional to 1,604.96, 2,214.62 and 896.71

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Solution

The fourth proportional to 1,604.96, 2,214.62 and 896.71 is: 1,237.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,604.96 : 2,214.62 = 896.71 : x
  2. Step 2: Convert to fraction form
    1,604.96/2,214.62 = 896.71/x
  3. Step 3: Cross multiply
    1,604.96x = 2,214.62 × 896.71
  4. Step 4: Simplify right side
    1,604.96x = 1,985,873.55
  5. Step 5: Solve for x
    x = 1,985,873.55/1,604.96
  6. Step 6: Final answer
    x = 1,237.34

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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.