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Finding the Fourth Proportional to 2,047.82, 3,072.29 and 587.12

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Solution

The fourth proportional to 2,047.82, 3,072.29 and 587.12 is: 880.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,047.82 : 3,072.29 = 587.12 : x
  2. Step 2: Convert to fraction form
    2,047.82/3,072.29 = 587.12/x
  3. Step 3: Cross multiply
    2,047.82x = 3,072.29 × 587.12
  4. Step 4: Simplify right side
    2,047.82x = 1,803,799.97
  5. Step 5: Solve for x
    x = 1,803,799.97/2,047.82
  6. Step 6: Final answer
    x = 880.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.