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Finding the Fourth Proportional to 2,065.84, 2,850.56 and 1,169.64

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Solution

The fourth proportional to 2,065.84, 2,850.56 and 1,169.64 is: 1,613.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,065.84 : 2,850.56 = 1,169.64 : x
  2. Step 2: Convert to fraction form
    2,065.84/2,850.56 = 1,169.64/x
  3. Step 3: Cross multiply
    2,065.84x = 2,850.56 × 1,169.64
  4. Step 4: Simplify right side
    2,065.84x = 3,334,129.00
  5. Step 5: Solve for x
    x = 3,334,129.00/2,065.84
  6. Step 6: Final answer
    x = 1,613.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.