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Finding the Fourth Proportional to 2,649.71, 3,658.28 and 1,705.85

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Solution

The fourth proportional to 2,649.71, 3,658.28 and 1,705.85 is: 2,355.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,649.71 : 3,658.28 = 1,705.85 : x
  2. Step 2: Convert to fraction form
    2,649.71/3,658.28 = 1,705.85/x
  3. Step 3: Cross multiply
    2,649.71x = 3,658.28 × 1,705.85
  4. Step 4: Simplify right side
    2,649.71x = 6,240,476.94
  5. Step 5: Solve for x
    x = 6,240,476.94/2,649.71
  6. Step 6: Final answer
    x = 2,355.15

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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.