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Finding the Fourth Proportional to 2,048.43, 3,073.17 and 587.69

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Solution

The fourth proportional to 2,048.43, 3,073.17 and 587.69 is: 881.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,048.43 : 3,073.17 = 587.69 : x
  2. Step 2: Convert to fraction form
    2,048.43/3,073.17 = 587.69/x
  3. Step 3: Cross multiply
    2,048.43x = 3,073.17 × 587.69
  4. Step 4: Simplify right side
    2,048.43x = 1,806,071.28
  5. Step 5: Solve for x
    x = 1,806,071.28/2,048.43
  6. Step 6: Final answer
    x = 881.69

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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.