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Finding the Fourth Proportional to 2,048.85, 3,073.37 and 588.15

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Solution

The fourth proportional to 2,048.85, 3,073.37 and 588.15 is: 882.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,048.85 : 3,073.37 = 588.15 : x
  2. Step 2: Convert to fraction form
    2,048.85/3,073.37 = 588.15/x
  3. Step 3: Cross multiply
    2,048.85x = 3,073.37 × 588.15
  4. Step 4: Simplify right side
    2,048.85x = 1,807,599.62
  5. Step 5: Solve for x
    x = 1,807,599.62/2,048.85
  6. Step 6: Final answer
    x = 882.25

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