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Finding the Fourth Proportional to 2,605.93, 3,906.45 and 962.03

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Solution

The fourth proportional to 2,605.93, 3,906.45 and 962.03 is: 1,442.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,605.93 : 3,906.45 = 962.03 : x
  2. Step 2: Convert to fraction form
    2,605.93/3,906.45 = 962.03/x
  3. Step 3: Cross multiply
    2,605.93x = 3,906.45 × 962.03
  4. Step 4: Simplify right side
    2,605.93x = 3,758,131.86
  5. Step 5: Solve for x
    x = 3,758,131.86/2,605.93
  6. Step 6: Final answer
    x = 1,442.15

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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.