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Finding the Fourth Proportional to 2,912.64, 4,351.20 and 1,864.24

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Solution

The fourth proportional to 2,912.64, 4,351.20 and 1,864.24 is: 2,784.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,912.64 : 4,351.20 = 1,864.24 : x
  2. Step 2: Convert to fraction form
    2,912.64/4,351.20 = 1,864.24/x
  3. Step 3: Cross multiply
    2,912.64x = 4,351.20 × 1,864.24
  4. Step 4: Simplify right side
    2,912.64x = 8,111,681.09
  5. Step 5: Solve for x
    x = 8,111,681.09/2,912.64
  6. Step 6: Final answer
    x = 2,784.99

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.