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Finding the Fourth Proportional to 2,617.37, 3,925.45 and 767.99

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Solution

The fourth proportional to 2,617.37, 3,925.45 and 767.99 is: 1,151.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,617.37 : 3,925.45 = 767.99 : x
  2. Step 2: Convert to fraction form
    2,617.37/3,925.45 = 767.99/x
  3. Step 3: Cross multiply
    2,617.37x = 3,925.45 × 767.99
  4. Step 4: Simplify right side
    2,617.37x = 3,014,699.52
  5. Step 5: Solve for x
    x = 3,014,699.52/2,617.37
  6. Step 6: Final answer
    x = 1,151.80

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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.