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Finding the Fourth Proportional to 2,572.37, 3,863.73 and 1,534.40

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Solution

The fourth proportional to 2,572.37, 3,863.73 and 1,534.40 is: 2,304.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,572.37 : 3,863.73 = 1,534.40 : x
  2. Step 2: Convert to fraction form
    2,572.37/3,863.73 = 1,534.40/x
  3. Step 3: Cross multiply
    2,572.37x = 3,863.73 × 1,534.40
  4. Step 4: Simplify right side
    2,572.37x = 5,928,515.09
  5. Step 5: Solve for x
    x = 5,928,515.09/2,572.37
  6. Step 6: Final answer
    x = 2,304.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.