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Finding the Fourth Proportional to 1,604.80, 2,214.66 and 896.59

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Solution

The fourth proportional to 1,604.80, 2,214.66 and 896.59 is: 1,237.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,604.80 : 2,214.66 = 896.59 : x
  2. Step 2: Convert to fraction form
    1,604.80/2,214.66 = 896.59/x
  3. Step 3: Cross multiply
    1,604.80x = 2,214.66 × 896.59
  4. Step 4: Simplify right side
    1,604.80x = 1,985,642.01
  5. Step 5: Solve for x
    x = 1,985,642.01/1,604.80
  6. Step 6: Final answer
    x = 1,237.31

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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.