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Finding the Fourth Proportional to 3,146.50, 4,720.43 and 1,066.56

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Solution

The fourth proportional to 3,146.50, 4,720.43 and 1,066.56 is: 1,600.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,146.50 : 4,720.43 = 1,066.56 : x
  2. Step 2: Convert to fraction form
    3,146.50/4,720.43 = 1,066.56/x
  3. Step 3: Cross multiply
    3,146.50x = 4,720.43 × 1,066.56
  4. Step 4: Simplify right side
    3,146.50x = 5,034,621.82
  5. Step 5: Solve for x
    x = 5,034,621.82/3,146.50
  6. Step 6: Final answer
    x = 1,600.07

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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.