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Finding the Fourth Proportional to 1,908.24, 2,632.24 and 1,208.40

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Solution

The fourth proportional to 1,908.24, 2,632.24 and 1,208.40 is: 1,666.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,908.24 : 2,632.24 = 1,208.40 : x
  2. Step 2: Convert to fraction form
    1,908.24/2,632.24 = 1,208.40/x
  3. Step 3: Cross multiply
    1,908.24x = 2,632.24 × 1,208.40
  4. Step 4: Simplify right side
    1,908.24x = 3,180,798.82
  5. Step 5: Solve for x
    x = 3,180,798.82/1,908.24
  6. Step 6: Final answer
    x = 1,666.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.