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Finding the Fourth Proportional to 2,064.54, 2,849.03 and 1,133.02

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Solution

The fourth proportional to 2,064.54, 2,849.03 and 1,133.02 is: 1,563.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,064.54 : 2,849.03 = 1,133.02 : x
  2. Step 2: Convert to fraction form
    2,064.54/2,849.03 = 1,133.02/x
  3. Step 3: Cross multiply
    2,064.54x = 2,849.03 × 1,133.02
  4. Step 4: Simplify right side
    2,064.54x = 3,228,007.97
  5. Step 5: Solve for x
    x = 3,228,007.97/2,064.54
  6. Step 6: Final answer
    x = 1,563.55

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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.