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Finding the Fourth Proportional to 2,008.44, 2,766.69 and 1,746

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Solution

The fourth proportional to 2,008.44, 2,766.69 and 1,746 is: 2,405.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,008.44 : 2,766.69 = 1,746 : x
  2. Step 2: Convert to fraction form
    2,008.44/2,766.69 = 1,746/x
  3. Step 3: Cross multiply
    2,008.44x = 2,766.69 × 1,746
  4. Step 4: Simplify right side
    2,008.44x = 4,830,640.74
  5. Step 5: Solve for x
    x = 4,830,640.74/2,008.44
  6. Step 6: Final answer
    x = 2,405.17

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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.