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Finding the Fourth Proportional to 2,043.85, 3,065.69 and 583.00

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Solution

The fourth proportional to 2,043.85, 3,065.69 and 583.00 is: 874.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,043.85 : 3,065.69 = 583.00 : x
  2. Step 2: Convert to fraction form
    2,043.85/3,065.69 = 583.00/x
  3. Step 3: Cross multiply
    2,043.85x = 3,065.69 × 583.00
  4. Step 4: Simplify right side
    2,043.85x = 1,787,306.39
  5. Step 5: Solve for x
    x = 1,787,306.39/2,043.85
  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.