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Finding the Fourth Proportional to 3,066.66, 4,602.42 and 1,336.50

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Solution

The fourth proportional to 3,066.66, 4,602.42 and 1,336.50 is: 2,005.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,066.66 : 4,602.42 = 1,336.50 : x
  2. Step 2: Convert to fraction form
    3,066.66/4,602.42 = 1,336.50/x
  3. Step 3: Cross multiply
    3,066.66x = 4,602.42 × 1,336.50
  4. Step 4: Simplify right side
    3,066.66x = 6,151,134.33
  5. Step 5: Solve for x
    x = 6,151,134.33/3,066.66
  6. Step 6: Final answer
    x = 2,005.81

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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.