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Finding the Fourth Proportional to 3,066.12, 4,599.59 and 985.43

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Solution

The fourth proportional to 3,066.12, 4,599.59 and 985.43 is: 1,478.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,066.12 : 4,599.59 = 985.43 : x
  2. Step 2: Convert to fraction form
    3,066.12/4,599.59 = 985.43/x
  3. Step 3: Cross multiply
    3,066.12x = 4,599.59 × 985.43
  4. Step 4: Simplify right side
    3,066.12x = 4,532,573.97
  5. Step 5: Solve for x
    x = 4,532,573.97/3,066.12
  6. Step 6: Final answer
    x = 1,478.28

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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.