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Finding the Fourth Proportional to 2,044.22, 3,065.97 and 583.34

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Solution

The fourth proportional to 2,044.22, 3,065.97 and 583.34 is: 874.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,044.22 : 3,065.97 = 583.34 : x
  2. Step 2: Convert to fraction form
    2,044.22/3,065.97 = 583.34/x
  3. Step 3: Cross multiply
    2,044.22x = 3,065.97 × 583.34
  4. Step 4: Simplify right side
    2,044.22x = 1,788,502.94
  5. Step 5: Solve for x
    x = 1,788,502.94/2,044.22
  6. Step 6: Final answer
    x = 874.91

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1.5x scale

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.