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Finding the Fourth Proportional to 2,904.22, 4,358.04 and 1,149.39

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Solution

The fourth proportional to 2,904.22, 4,358.04 and 1,149.39 is: 1,724.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,904.22 : 4,358.04 = 1,149.39 : x
  2. Step 2: Convert to fraction form
    2,904.22/4,358.04 = 1,149.39/x
  3. Step 3: Cross multiply
    2,904.22x = 4,358.04 × 1,149.39
  4. Step 4: Simplify right side
    2,904.22x = 5,009,103.94
  5. Step 5: Solve for x
    x = 5,009,103.94/2,904.22
  6. Step 6: Final answer
    x = 1,724.77

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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.