Home / 1,694.08-2,540.76-583.30

Finding the Fourth Proportional to 1,694.08, 2,540.76 and 583.30

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Solution

The fourth proportional to 1,694.08, 2,540.76 and 583.30 is: 874.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,694.08 : 2,540.76 = 583.30 : x
  2. Step 2: Convert to fraction form
    1,694.08/2,540.76 = 583.30/x
  3. Step 3: Cross multiply
    1,694.08x = 2,540.76 × 583.30
  4. Step 4: Simplify right side
    1,694.08x = 1,482,025.31
  5. Step 5: Solve for x
    x = 1,482,025.31/1,694.08
  6. Step 6: Final answer
    x = 874.83

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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.