Home / 2,273.16-3,409.83-973.74

Finding the Fourth Proportional to 2,273.16, 3,409.83 and 973.74

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Solution

The fourth proportional to 2,273.16, 3,409.83 and 973.74 is: 1,460.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,273.16 : 3,409.83 = 973.74 : x
  2. Step 2: Convert to fraction form
    2,273.16/3,409.83 = 973.74/x
  3. Step 3: Cross multiply
    2,273.16x = 3,409.83 × 973.74
  4. Step 4: Simplify right side
    2,273.16x = 3,320,287.86
  5. Step 5: Solve for x
    x = 3,320,287.86/2,273.16
  6. Step 6: Final answer
    x = 1,460.65

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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.