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Finding the Fourth Proportional to 1,912.08, 2,864.52 and 1,614

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Solution

The fourth proportional to 1,912.08, 2,864.52 and 1,614 is: 2,417.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,912.08 : 2,864.52 = 1,614 : x
  2. Step 2: Convert to fraction form
    1,912.08/2,864.52 = 1,614/x
  3. Step 3: Cross multiply
    1,912.08x = 2,864.52 × 1,614
  4. Step 4: Simplify right side
    1,912.08x = 4,623,335.28
  5. Step 5: Solve for x
    x = 4,623,335.28/1,912.08
  6. Step 6: Final answer
    x = 2,417.96

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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.