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Finding the Fourth Proportional to 1,729.55, 2,388.75 and 1,142.71

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Solution

The fourth proportional to 1,729.55, 2,388.75 and 1,142.71 is: 1,578.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,729.55 : 2,388.75 = 1,142.71 : x
  2. Step 2: Convert to fraction form
    1,729.55/2,388.75 = 1,142.71/x
  3. Step 3: Cross multiply
    1,729.55x = 2,388.75 × 1,142.71
  4. Step 4: Simplify right side
    1,729.55x = 2,729,648.51
  5. Step 5: Solve for x
    x = 2,729,648.51/1,729.55
  6. Step 6: Final answer
    x = 1,578.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.