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Finding the Fourth Proportional to 2,997.60, 4,132.99 and 2,332.99

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Solution

The fourth proportional to 2,997.60, 4,132.99 and 2,332.99 is: 3,216.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,997.60 : 4,132.99 = 2,332.99 : x
  2. Step 2: Convert to fraction form
    2,997.60/4,132.99 = 2,332.99/x
  3. Step 3: Cross multiply
    2,997.60x = 4,132.99 × 2,332.99
  4. Step 4: Simplify right side
    2,997.60x = 9,642,224.34
  5. Step 5: Solve for x
    x = 9,642,224.34/2,997.60
  6. Step 6: Final answer
    x = 3,216.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.