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Finding the Fourth Proportional to 3,094.80, 4,642.44 and 903.48

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Solution

The fourth proportional to 3,094.80, 4,642.44 and 903.48 is: 1,355.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,094.80 : 4,642.44 = 903.48 : x
  2. Step 2: Convert to fraction form
    3,094.80/4,642.44 = 903.48/x
  3. Step 3: Cross multiply
    3,094.80x = 4,642.44 × 903.48
  4. Step 4: Simplify right side
    3,094.80x = 4,194,351.69
  5. Step 5: Solve for x
    x = 4,194,351.69/3,094.80
  6. Step 6: Final answer
    x = 1,355.29

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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.