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Finding the Fourth Proportional to 2,048.60, 3,072.99 and 587.90

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Solution

The fourth proportional to 2,048.60, 3,072.99 and 587.90 is: 881.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,048.60 : 3,072.99 = 587.90 : x
  2. Step 2: Convert to fraction form
    2,048.60/3,072.99 = 587.90/x
  3. Step 3: Cross multiply
    2,048.60x = 3,072.99 × 587.90
  4. Step 4: Simplify right side
    2,048.60x = 1,806,610.82
  5. Step 5: Solve for x
    x = 1,806,610.82/2,048.60
  6. Step 6: Final answer
    x = 881.88

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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.