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Finding the Fourth Proportional to 2,205.52, 3,305.34 and 1,165.30

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Solution

The fourth proportional to 2,205.52, 3,305.34 and 1,165.30 is: 1,746.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,205.52 : 3,305.34 = 1,165.30 : x
  2. Step 2: Convert to fraction form
    2,205.52/3,305.34 = 1,165.30/x
  3. Step 3: Cross multiply
    2,205.52x = 3,305.34 × 1,165.30
  4. Step 4: Simplify right side
    2,205.52x = 3,851,712.70
  5. Step 5: Solve for x
    x = 3,851,712.70/2,205.52
  6. Step 6: Final answer
    x = 1,746.40

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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.