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Finding the Fourth Proportional to 2,772.25, 3,825.71 and 1,530.25

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Solution

The fourth proportional to 2,772.25, 3,825.71 and 1,530.25 is: 2,111.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,772.25 : 3,825.71 = 1,530.25 : x
  2. Step 2: Convert to fraction form
    2,772.25/3,825.71 = 1,530.25/x
  3. Step 3: Cross multiply
    2,772.25x = 3,825.71 × 1,530.25
  4. Step 4: Simplify right side
    2,772.25x = 5,854,292.73
  5. Step 5: Solve for x
    x = 5,854,292.73/2,772.25
  6. Step 6: Final answer
    x = 2,111.75

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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.