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Finding the Fourth Proportional to 3,005.84, 4,507.94 and 1,444.76

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Solution

The fourth proportional to 3,005.84, 4,507.94 and 1,444.76 is: 2,166.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,005.84 : 4,507.94 = 1,444.76 : x
  2. Step 2: Convert to fraction form
    3,005.84/4,507.94 = 1,444.76/x
  3. Step 3: Cross multiply
    3,005.84x = 4,507.94 × 1,444.76
  4. Step 4: Simplify right side
    3,005.84x = 6,512,891.39
  5. Step 5: Solve for x
    x = 6,512,891.39/3,005.84
  6. Step 6: Final answer
    x = 2,166.75

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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.