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Finding the Fourth Proportional to 1,759.71, 2,625.89 and 1,604.53

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Solution

The fourth proportional to 1,759.71, 2,625.89 and 1,604.53 is: 2,394.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,759.71 : 2,625.89 = 1,604.53 : x
  2. Step 2: Convert to fraction form
    1,759.71/2,625.89 = 1,604.53/x
  3. Step 3: Cross multiply
    1,759.71x = 2,625.89 × 1,604.53
  4. Step 4: Simplify right side
    1,759.71x = 4,213,319.28
  5. Step 5: Solve for x
    x = 4,213,319.28/1,759.71
  6. Step 6: Final answer
    x = 2,394.33

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.