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Finding the Fourth Proportional to 2,472.08, 3,410.39 and 1,476.86

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Solution

The fourth proportional to 2,472.08, 3,410.39 and 1,476.86 is: 2,037.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,472.08 : 3,410.39 = 1,476.86 : x
  2. Step 2: Convert to fraction form
    2,472.08/3,410.39 = 1,476.86/x
  3. Step 3: Cross multiply
    2,472.08x = 3,410.39 × 1,476.86
  4. Step 4: Simplify right side
    2,472.08x = 5,036,661.19
  5. Step 5: Solve for x
    x = 5,036,661.19/2,472.08
  6. Step 6: Final answer
    x = 2,037.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.