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Finding the Fourth Proportional to 2,473.46, 3,412.28 and 1,478.24

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Solution

The fourth proportional to 2,473.46, 3,412.28 and 1,478.24 is: 2,039.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,473.46 : 3,412.28 = 1,478.24 : x
  2. Step 2: Convert to fraction form
    2,473.46/3,412.28 = 1,478.24/x
  3. Step 3: Cross multiply
    2,473.46x = 3,412.28 × 1,478.24
  4. Step 4: Simplify right side
    2,473.46x = 5,044,168.79
  5. Step 5: Solve for x
    x = 5,044,168.79/2,473.46
  6. Step 6: Final answer
    x = 2,039.32

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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.