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Finding the Fourth Proportional to 2,048.35, 3,073.07 and 587.62

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Solution

The fourth proportional to 2,048.35, 3,073.07 and 587.62 is: 881.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,048.35 : 3,073.07 = 587.62 : x
  2. Step 2: Convert to fraction form
    2,048.35/3,073.07 = 587.62/x
  3. Step 3: Cross multiply
    2,048.35x = 3,073.07 × 587.62
  4. Step 4: Simplify right side
    2,048.35x = 1,805,794.46
  5. Step 5: Solve for x
    x = 1,805,794.46/2,048.35
  6. Step 6: Final answer
    x = 881.58

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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.