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Finding the Fourth Proportional to 3,006.84, 4,499.30 and 1,774.84

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Solution

The fourth proportional to 3,006.84, 4,499.30 and 1,774.84 is: 2,655.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,006.84 : 4,499.30 = 1,774.84 : x
  2. Step 2: Convert to fraction form
    3,006.84/4,499.30 = 1,774.84/x
  3. Step 3: Cross multiply
    3,006.84x = 4,499.30 × 1,774.84
  4. Step 4: Simplify right side
    3,006.84x = 7,985,537.61
  5. Step 5: Solve for x
    x = 7,985,537.61/3,006.84
  6. Step 6: Final answer
    x = 2,655.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.