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Finding the Fourth Proportional to 2,048.26, 3,072.62 and 587.65

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Solution

The fourth proportional to 2,048.26, 3,072.62 and 587.65 is: 881.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,048.26 : 3,072.62 = 587.65 : x
  2. Step 2: Convert to fraction form
    2,048.26/3,072.62 = 587.65/x
  3. Step 3: Cross multiply
    2,048.26x = 3,072.62 × 587.65
  4. Step 4: Simplify right side
    2,048.26x = 1,805,625.14
  5. Step 5: Solve for x
    x = 1,805,625.14/2,048.26
  6. Step 6: Final answer
    x = 881.54

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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.