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Finding the Fourth Proportional to 3,146.72, 4,719.24 and 1,499.99

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Solution

The fourth proportional to 3,146.72, 4,719.24 and 1,499.99 is: 2,249.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,146.72 : 4,719.24 = 1,499.99 : x
  2. Step 2: Convert to fraction form
    3,146.72/4,719.24 = 1,499.99/x
  3. Step 3: Cross multiply
    3,146.72x = 4,719.24 × 1,499.99
  4. Step 4: Simplify right side
    3,146.72x = 7,078,812.81
  5. Step 5: Solve for x
    x = 7,078,812.81/3,146.72
  6. Step 6: Final answer
    x = 2,249.58

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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.