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Finding the Fourth Proportional to 1,908, 2,864.88 and 1,838.16

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Solution

The fourth proportional to 1,908, 2,864.88 and 1,838.16 is: 2,760.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,908 : 2,864.88 = 1,838.16 : x
  2. Step 2: Convert to fraction form
    1,908/2,864.88 = 1,838.16/x
  3. Step 3: Cross multiply
    1,908x = 2,864.88 × 1,838.16
  4. Step 4: Simplify right side
    1,908x = 5,266,107.82
  5. Step 5: Solve for x
    x = 5,266,107.82/1,908
  6. Step 6: Final answer
    x = 2,760.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.