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Finding the Fourth Proportional to 4,493.84, 6,740.75 and 1,206.66

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Solution

The fourth proportional to 4,493.84, 6,740.75 and 1,206.66 is: 1,809.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,493.84 : 6,740.75 = 1,206.66 : x
  2. Step 2: Convert to fraction form
    4,493.84/6,740.75 = 1,206.66/x
  3. Step 3: Cross multiply
    4,493.84x = 6,740.75 × 1,206.66
  4. Step 4: Simplify right side
    4,493.84x = 8,133,793.40
  5. Step 5: Solve for x
    x = 8,133,793.40/4,493.84
  6. Step 6: Final answer
    x = 1,809.99

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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.