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Finding the Fourth Proportional to 2,064.15, 3,095.01 and 969.03

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Solution

The fourth proportional to 2,064.15, 3,095.01 and 969.03 is: 1,452.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,064.15 : 3,095.01 = 969.03 : x
  2. Step 2: Convert to fraction form
    2,064.15/3,095.01 = 969.03/x
  3. Step 3: Cross multiply
    2,064.15x = 3,095.01 × 969.03
  4. Step 4: Simplify right side
    2,064.15x = 2,999,157.54
  5. Step 5: Solve for x
    x = 2,999,157.54/2,064.15
  6. Step 6: Final answer
    x = 1,452.97

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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.