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Finding the Fourth Proportional to 2,864.71, 4,296.53 and 990.59

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Solution

The fourth proportional to 2,864.71, 4,296.53 and 990.59 is: 1,485.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,864.71 : 4,296.53 = 990.59 : x
  2. Step 2: Convert to fraction form
    2,864.71/4,296.53 = 990.59/x
  3. Step 3: Cross multiply
    2,864.71x = 4,296.53 × 990.59
  4. Step 4: Simplify right side
    2,864.71x = 4,256,112.87
  5. Step 5: Solve for x
    x = 4,256,112.87/2,864.71
  6. Step 6: Final answer
    x = 1,485.71

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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.