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Finding the Fourth Proportional to 2,061.64, 2,845.13 and 1,165.42

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Solution

The fourth proportional to 2,061.64, 2,845.13 and 1,165.42 is: 1,608.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,061.64 : 2,845.13 = 1,165.42 : x
  2. Step 2: Convert to fraction form
    2,061.64/2,845.13 = 1,165.42/x
  3. Step 3: Cross multiply
    2,061.64x = 2,845.13 × 1,165.42
  4. Step 4: Simplify right side
    2,061.64x = 3,315,771.40
  5. Step 5: Solve for x
    x = 3,315,771.40/2,061.64
  6. Step 6: Final answer
    x = 1,608.32

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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.