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Finding the Fourth Proportional to 2,203.89, 3,303.32 and 903.75

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Solution

The fourth proportional to 2,203.89, 3,303.32 and 903.75 is: 1,354.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,203.89 : 3,303.32 = 903.75 : x
  2. Step 2: Convert to fraction form
    2,203.89/3,303.32 = 903.75/x
  3. Step 3: Cross multiply
    2,203.89x = 3,303.32 × 903.75
  4. Step 4: Simplify right side
    2,203.89x = 2,985,370.93
  5. Step 5: Solve for x
    x = 2,985,370.93/2,203.89
  6. Step 6: Final answer
    x = 1,354.59

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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.