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Finding the Fourth Proportional to 2,005.54, 3,008.35 and 689.27

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Solution

The fourth proportional to 2,005.54, 3,008.35 and 689.27 is: 1,033.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,005.54 : 3,008.35 = 689.27 : x
  2. Step 2: Convert to fraction form
    2,005.54/3,008.35 = 689.27/x
  3. Step 3: Cross multiply
    2,005.54x = 3,008.35 × 689.27
  4. Step 4: Simplify right side
    2,005.54x = 2,073,565.40
  5. Step 5: Solve for x
    x = 2,073,565.40/2,005.54
  6. Step 6: Final answer
    x = 1,033.92

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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.