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Finding the Fourth Proportional to 2,205.72, 3,309.71 and 1,465.84

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Solution

The fourth proportional to 2,205.72, 3,309.71 and 1,465.84 is: 2,199.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,205.72 : 3,309.71 = 1,465.84 : x
  2. Step 2: Convert to fraction form
    2,205.72/3,309.71 = 1,465.84/x
  3. Step 3: Cross multiply
    2,205.72x = 3,309.71 × 1,465.84
  4. Step 4: Simplify right side
    2,205.72x = 4,851,504.24
  5. Step 5: Solve for x
    x = 4,851,504.24/2,205.72
  6. Step 6: Final answer
    x = 2,199.51

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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.