Home / 2,208.45-3,314.16-976.22

Finding the Fourth Proportional to 2,208.45, 3,314.16 and 976.22

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Solution

The fourth proportional to 2,208.45, 3,314.16 and 976.22 is: 1,464.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,208.45 : 3,314.16 = 976.22 : x
  2. Step 2: Convert to fraction form
    2,208.45/3,314.16 = 976.22/x
  3. Step 3: Cross multiply
    2,208.45x = 3,314.16 × 976.22
  4. Step 4: Simplify right side
    2,208.45x = 3,235,349.28
  5. Step 5: Solve for x
    x = 3,235,349.28/2,208.45
  6. Step 6: Final answer
    x = 1,464.99

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1.5x scale

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.