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Finding the Fourth Proportional to 2,157.47, 3,237.48 and 2,020.80

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Solution

The fourth proportional to 2,157.47, 3,237.48 and 2,020.80 is: 3,032.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,157.47 : 3,237.48 = 2,020.80 : x
  2. Step 2: Convert to fraction form
    2,157.47/3,237.48 = 2,020.80/x
  3. Step 3: Cross multiply
    2,157.47x = 3,237.48 × 2,020.80
  4. Step 4: Simplify right side
    2,157.47x = 6,542,299.58
  5. Step 5: Solve for x
    x = 6,542,299.58/2,157.47
  6. Step 6: Final answer
    x = 3,032.40

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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.