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Finding the Fourth Proportional to 3,208.84, 4,809.56 and 1,473.80

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Solution

The fourth proportional to 3,208.84, 4,809.56 and 1,473.80 is: 2,209.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,208.84 : 4,809.56 = 1,473.80 : x
  2. Step 2: Convert to fraction form
    3,208.84/4,809.56 = 1,473.80/x
  3. Step 3: Cross multiply
    3,208.84x = 4,809.56 × 1,473.80
  4. Step 4: Simplify right side
    3,208.84x = 7,088,329.53
  5. Step 5: Solve for x
    x = 7,088,329.53/3,208.84
  6. Step 6: Final answer
    x = 2,209.00

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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.