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Finding the Fourth Proportional to 2,044.20, 3,065.90 and 583.40

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Solution

The fourth proportional to 2,044.20, 3,065.90 and 583.40 is: 874.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,044.20 : 3,065.90 = 583.40 : x
  2. Step 2: Convert to fraction form
    2,044.20/3,065.90 = 583.40/x
  3. Step 3: Cross multiply
    2,044.20x = 3,065.90 × 583.40
  4. Step 4: Simplify right side
    2,044.20x = 1,788,646.06
  5. Step 5: Solve for x
    x = 1,788,646.06/2,044.20
  6. Step 6: Final answer
    x = 874.99

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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.