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Finding the Fourth Proportional to 3,005.84, 4,497.80 and 1,773.84

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Solution

The fourth proportional to 3,005.84, 4,497.80 and 1,773.84 is: 2,654.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,005.84 : 4,497.80 = 1,773.84 : x
  2. Step 2: Convert to fraction form
    3,005.84/4,497.80 = 1,773.84/x
  3. Step 3: Cross multiply
    3,005.84x = 4,497.80 × 1,773.84
  4. Step 4: Simplify right side
    3,005.84x = 7,978,377.55
  5. Step 5: Solve for x
    x = 7,978,377.55/3,005.84
  6. Step 6: Final answer
    x = 2,654.29

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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.