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Finding the Fourth Proportional to 2,572.14, 3,855.93 and 1,237.16

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Solution

The fourth proportional to 2,572.14, 3,855.93 and 1,237.16 is: 1,854.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,572.14 : 3,855.93 = 1,237.16 : x
  2. Step 2: Convert to fraction form
    2,572.14/3,855.93 = 1,237.16/x
  3. Step 3: Cross multiply
    2,572.14x = 3,855.93 × 1,237.16
  4. Step 4: Simplify right side
    2,572.14x = 4,770,383.08
  5. Step 5: Solve for x
    x = 4,770,383.08/2,572.14
  6. Step 6: Final answer
    x = 1,854.64

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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.