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Finding the Fourth Proportional to 1,908.45, 2,634.03 and 1,122.93

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Solution

The fourth proportional to 1,908.45, 2,634.03 and 1,122.93 is: 1,549.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,908.45 : 2,634.03 = 1,122.93 : x
  2. Step 2: Convert to fraction form
    1,908.45/2,634.03 = 1,122.93/x
  3. Step 3: Cross multiply
    1,908.45x = 2,634.03 × 1,122.93
  4. Step 4: Simplify right side
    1,908.45x = 2,957,831.31
  5. Step 5: Solve for x
    x = 2,957,831.31/1,908.45
  6. Step 6: Final answer
    x = 1,549.86

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Why These Related Problems?

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