Home / 2,042.95-3,064.46-582.14

Finding the Fourth Proportional to 2,042.95, 3,064.46 and 582.14

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Solution

The fourth proportional to 2,042.95, 3,064.46 and 582.14 is: 873.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,042.95 : 3,064.46 = 582.14 : x
  2. Step 2: Convert to fraction form
    2,042.95/3,064.46 = 582.14/x
  3. Step 3: Cross multiply
    2,042.95x = 3,064.46 × 582.14
  4. Step 4: Simplify right side
    2,042.95x = 1,783,944.74
  5. Step 5: Solve for x
    x = 1,783,944.74/2,042.95
  6. Step 6: Final answer
    x = 873.22

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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.