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Finding the Fourth Proportional to 3,066.30, 4,599.72 and 986.22

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Solution

The fourth proportional to 3,066.30, 4,599.72 and 986.22 is: 1,479.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,066.30 : 4,599.72 = 986.22 : x
  2. Step 2: Convert to fraction form
    3,066.30/4,599.72 = 986.22/x
  3. Step 3: Cross multiply
    3,066.30x = 4,599.72 × 986.22
  4. Step 4: Simplify right side
    3,066.30x = 4,536,335.86
  5. Step 5: Solve for x
    x = 4,536,335.86/3,066.30
  6. Step 6: Final answer
    x = 1,479.42

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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.