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Finding the Fourth Proportional to 3,066.42, 4,599.75 and 986.15

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Solution

The fourth proportional to 3,066.42, 4,599.75 and 986.15 is: 1,479.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,066.42 : 4,599.75 = 986.15 : x
  2. Step 2: Convert to fraction form
    3,066.42/4,599.75 = 986.15/x
  3. Step 3: Cross multiply
    3,066.42x = 4,599.75 × 986.15
  4. Step 4: Simplify right side
    3,066.42x = 4,536,054.96
  5. Step 5: Solve for x
    x = 4,536,054.96/3,066.42
  6. Step 6: Final answer
    x = 1,479.27

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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.