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Finding the Fourth Proportional to 2,203.03, 3,303.68 and 1,106.63

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Solution

The fourth proportional to 2,203.03, 3,303.68 and 1,106.63 is: 1,659.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,203.03 : 3,303.68 = 1,106.63 : x
  2. Step 2: Convert to fraction form
    2,203.03/3,303.68 = 1,106.63/x
  3. Step 3: Cross multiply
    2,203.03x = 3,303.68 × 1,106.63
  4. Step 4: Simplify right side
    2,203.03x = 3,655,934.88
  5. Step 5: Solve for x
    x = 3,655,934.88/2,203.03
  6. Step 6: Final answer
    x = 1,659.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.