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Finding the Fourth Proportional to 2,572.55, 3,840.20 and 2,261.16

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Solution

The fourth proportional to 2,572.55, 3,840.20 and 2,261.16 is: 3,375.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,572.55 : 3,840.20 = 2,261.16 : x
  2. Step 2: Convert to fraction form
    2,572.55/3,840.20 = 2,261.16/x
  3. Step 3: Cross multiply
    2,572.55x = 3,840.20 × 2,261.16
  4. Step 4: Simplify right side
    2,572.55x = 8,683,295.33
  5. Step 5: Solve for x
    x = 8,683,295.33/2,572.55
  6. Step 6: Final answer
    x = 3,375.37

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.