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Finding the Fourth Proportional to 2,157.53, 3,237.93 and 1,462.55

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Solution

The fourth proportional to 2,157.53, 3,237.93 and 1,462.55 is: 2,194.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,157.53 : 3,237.93 = 1,462.55 : x
  2. Step 2: Convert to fraction form
    2,157.53/3,237.93 = 1,462.55/x
  3. Step 3: Cross multiply
    2,157.53x = 3,237.93 × 1,462.55
  4. Step 4: Simplify right side
    2,157.53x = 4,735,618.33
  5. Step 5: Solve for x
    x = 4,735,618.33/2,157.53
  6. Step 6: Final answer
    x = 2,194.93

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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.