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Finding the Fourth Proportional to 3,066.43, 4,599.54 and 986.58

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Solution

The fourth proportional to 3,066.43, 4,599.54 and 986.58 is: 1,479.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,066.43 : 4,599.54 = 986.58 : x
  2. Step 2: Convert to fraction form
    3,066.43/4,599.54 = 986.58/x
  3. Step 3: Cross multiply
    3,066.43x = 4,599.54 × 986.58
  4. Step 4: Simplify right side
    3,066.43x = 4,537,796.92
  5. Step 5: Solve for x
    x = 4,537,796.92/3,066.43
  6. Step 6: Final answer
    x = 1,479.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.