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Finding the Fourth Proportional to 2,990.79, 4,485.74 and 1,142.78

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Solution

The fourth proportional to 2,990.79, 4,485.74 and 1,142.78 is: 1,713.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,990.79 : 4,485.74 = 1,142.78 : x
  2. Step 2: Convert to fraction form
    2,990.79/4,485.74 = 1,142.78/x
  3. Step 3: Cross multiply
    2,990.79x = 4,485.74 × 1,142.78
  4. Step 4: Simplify right side
    2,990.79x = 5,126,185.81
  5. Step 5: Solve for x
    x = 5,126,185.81/2,990.79
  6. Step 6: Final answer
    x = 1,713.99

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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.