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Finding the Fourth Proportional to 2,472.93, 3,412.08 and 1,478.04

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Solution

The fourth proportional to 2,472.93, 3,412.08 and 1,478.04 is: 2,039.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,472.93 : 3,412.08 = 1,478.04 : x
  2. Step 2: Convert to fraction form
    2,472.93/3,412.08 = 1,478.04/x
  3. Step 3: Cross multiply
    2,472.93x = 3,412.08 × 1,478.04
  4. Step 4: Simplify right side
    2,472.93x = 5,043,190.72
  5. Step 5: Solve for x
    x = 5,043,190.72/2,472.93
  6. Step 6: Final answer
    x = 2,039.36

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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.