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Finding the Fourth Proportional to 2,047.51, 2,825.48 and 1,163.36

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Solution

The fourth proportional to 2,047.51, 2,825.48 and 1,163.36 is: 1,605.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,047.51 : 2,825.48 = 1,163.36 : x
  2. Step 2: Convert to fraction form
    2,047.51/2,825.48 = 1,163.36/x
  3. Step 3: Cross multiply
    2,047.51x = 2,825.48 × 1,163.36
  4. Step 4: Simplify right side
    2,047.51x = 3,287,050.41
  5. Step 5: Solve for x
    x = 3,287,050.41/2,047.51
  6. Step 6: Final answer
    x = 1,605.39

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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.