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Finding the Fourth Proportional to 3,066, 4,599.24 and 1,014

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Solution

The fourth proportional to 3,066, 4,599.24 and 1,014 is: 1,521.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,066 : 4,599.24 = 1,014 : x
  2. Step 2: Convert to fraction form
    3,066/4,599.24 = 1,014/x
  3. Step 3: Cross multiply
    3,066x = 4,599.24 × 1,014
  4. Step 4: Simplify right side
    3,066x = 4,663,629.36
  5. Step 5: Solve for x
    x = 4,663,629.36/3,066
  6. Step 6: Final answer
    x = 1,521.08

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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.