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Finding the Fourth Proportional to 2,044.91, 3,066.94 and 583.67

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Solution

The fourth proportional to 2,044.91, 3,066.94 and 583.67 is: 875.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,044.91 : 3,066.94 = 583.67 : x
  2. Step 2: Convert to fraction form
    2,044.91/3,066.94 = 583.67/x
  3. Step 3: Cross multiply
    2,044.91x = 3,066.94 × 583.67
  4. Step 4: Simplify right side
    2,044.91x = 1,790,080.87
  5. Step 5: Solve for x
    x = 1,790,080.87/2,044.91
  6. Step 6: Final answer
    x = 875.38

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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.