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Finding the Fourth Proportional to 3,046.66, 4,572.59 and 1,199.07

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Solution

The fourth proportional to 3,046.66, 4,572.59 and 1,199.07 is: 1,799.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,046.66 : 4,572.59 = 1,199.07 : x
  2. Step 2: Convert to fraction form
    3,046.66/4,572.59 = 1,199.07/x
  3. Step 3: Cross multiply
    3,046.66x = 4,572.59 × 1,199.07
  4. Step 4: Simplify right side
    3,046.66x = 5,482,855.49
  5. Step 5: Solve for x
    x = 5,482,855.49/3,046.66
  6. Step 6: Final answer
    x = 1,799.63

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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.