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Finding the Fourth Proportional to 2,066.54, 3,100.32 and 969.64

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Solution

The fourth proportional to 2,066.54, 3,100.32 and 969.64 is: 1,454.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,066.54 : 3,100.32 = 969.64 : x
  2. Step 2: Convert to fraction form
    2,066.54/3,100.32 = 969.64/x
  3. Step 3: Cross multiply
    2,066.54x = 3,100.32 × 969.64
  4. Step 4: Simplify right side
    2,066.54x = 3,006,186.53
  5. Step 5: Solve for x
    x = 3,006,186.53/2,066.54
  6. Step 6: Final answer
    x = 1,454.69

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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.