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Finding the Fourth Proportional to 2,047.59, 2,825.32 and 1,208.23

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Solution

The fourth proportional to 2,047.59, 2,825.32 and 1,208.23 is: 1,667.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,047.59 : 2,825.32 = 1,208.23 : x
  2. Step 2: Convert to fraction form
    2,047.59/2,825.32 = 1,208.23/x
  3. Step 3: Cross multiply
    2,047.59x = 2,825.32 × 1,208.23
  4. Step 4: Simplify right side
    2,047.59x = 3,413,636.38
  5. Step 5: Solve for x
    x = 3,413,636.38/2,047.59
  6. Step 6: Final answer
    x = 1,667.15

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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.