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Finding the Fourth Proportional to 2,044.04, 3,065.98 and 583

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Solution

The fourth proportional to 2,044.04, 3,065.98 and 583 is: 874.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,044.04 : 3,065.98 = 583 : x
  2. Step 2: Convert to fraction form
    2,044.04/3,065.98 = 583/x
  3. Step 3: Cross multiply
    2,044.04x = 3,065.98 × 583
  4. Step 4: Simplify right side
    2,044.04x = 1,787,466.34
  5. Step 5: Solve for x
    x = 1,787,466.34/2,044.04
  6. Step 6: Final answer
    x = 874.48

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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.