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Finding the Fourth Proportional to 2,990.56, 4,129.94 and 2,464.66

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Solution

The fourth proportional to 2,990.56, 4,129.94 and 2,464.66 is: 3,403.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,990.56 : 4,129.94 = 2,464.66 : x
  2. Step 2: Convert to fraction form
    2,990.56/4,129.94 = 2,464.66/x
  3. Step 3: Cross multiply
    2,990.56x = 4,129.94 × 2,464.66
  4. Step 4: Simplify right side
    2,990.56x = 10,178,897.92
  5. Step 5: Solve for x
    x = 10,178,897.92/2,990.56
  6. Step 6: Final answer
    x = 3,403.68

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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.