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Finding the Fourth Proportional to 2,044.85, 3,066.86 and 583.81

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Solution

The fourth proportional to 2,044.85, 3,066.86 and 583.81 is: 875.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,044.85 : 3,066.86 = 583.81 : x
  2. Step 2: Convert to fraction form
    2,044.85/3,066.86 = 583.81/x
  3. Step 3: Cross multiply
    2,044.85x = 3,066.86 × 583.81
  4. Step 4: Simplify right side
    2,044.85x = 1,790,457.33
  5. Step 5: Solve for x
    x = 1,790,457.33/2,044.85
  6. Step 6: Final answer
    x = 875.60

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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.