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Finding the Fourth Proportional to 2,048.99, 3,073.46 and 588.15

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Solution

The fourth proportional to 2,048.99, 3,073.46 and 588.15 is: 882.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,048.99 : 3,073.46 = 588.15 : x
  2. Step 2: Convert to fraction form
    2,048.99/3,073.46 = 588.15/x
  3. Step 3: Cross multiply
    2,048.99x = 3,073.46 × 588.15
  4. Step 4: Simplify right side
    2,048.99x = 1,807,652.56
  5. Step 5: Solve for x
    x = 1,807,652.56/2,048.99
  6. Step 6: Final answer
    x = 882.22

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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.