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Finding the Fourth Proportional to 2,304.67, 3,177.93 and 1,557.33

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Solution

The fourth proportional to 2,304.67, 3,177.93 and 1,557.33 is: 2,147.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,304.67 : 3,177.93 = 1,557.33 : x
  2. Step 2: Convert to fraction form
    2,304.67/3,177.93 = 1,557.33/x
  3. Step 3: Cross multiply
    2,304.67x = 3,177.93 × 1,557.33
  4. Step 4: Simplify right side
    2,304.67x = 4,949,085.73
  5. Step 5: Solve for x
    x = 4,949,085.73/2,304.67
  6. Step 6: Final answer
    x = 2,147.42

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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.