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Finding the Fourth Proportional to 1,766.45, 2,407.29 and 1,759.97

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Solution

The fourth proportional to 1,766.45, 2,407.29 and 1,759.97 is: 2,398.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,766.45 : 2,407.29 = 1,759.97 : x
  2. Step 2: Convert to fraction form
    1,766.45/2,407.29 = 1,759.97/x
  3. Step 3: Cross multiply
    1,766.45x = 2,407.29 × 1,759.97
  4. Step 4: Simplify right side
    1,766.45x = 4,236,746.14
  5. Step 5: Solve for x
    x = 4,236,746.14/1,766.45
  6. Step 6: Final answer
    x = 2,398.46

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.