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Finding the Fourth Proportional to 2,033.72, 3,050.58 and 494.72

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Solution

The fourth proportional to 2,033.72, 3,050.58 and 494.72 is: 742.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,033.72 : 3,050.58 = 494.72 : x
  2. Step 2: Convert to fraction form
    2,033.72/3,050.58 = 494.72/x
  3. Step 3: Cross multiply
    2,033.72x = 3,050.58 × 494.72
  4. Step 4: Simplify right side
    2,033.72x = 1,509,178.20
  5. Step 5: Solve for x
    x = 1,509,178.20/2,033.72
  6. Step 6: Final answer
    x = 742.08

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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.