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Finding the Fourth Proportional to 2,203.76, 3,303.78 and 1,033.14

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Solution

The fourth proportional to 2,203.76, 3,303.78 and 1,033.14 is: 1,548.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,203.76 : 3,303.78 = 1,033.14 : x
  2. Step 2: Convert to fraction form
    2,203.76/3,303.78 = 1,033.14/x
  3. Step 3: Cross multiply
    2,203.76x = 3,303.78 × 1,033.14
  4. Step 4: Simplify right side
    2,203.76x = 3,413,267.27
  5. Step 5: Solve for x
    x = 3,413,267.27/2,203.76
  6. Step 6: Final answer
    x = 1,548.84

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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.