Home / 2,208.42-3,313.53-975.78

Finding the Fourth Proportional to 2,208.42, 3,313.53 and 975.78

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Solution

The fourth proportional to 2,208.42, 3,313.53 and 975.78 is: 1,464.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,208.42 : 3,313.53 = 975.78 : x
  2. Step 2: Convert to fraction form
    2,208.42/3,313.53 = 975.78/x
  3. Step 3: Cross multiply
    2,208.42x = 3,313.53 × 975.78
  4. Step 4: Simplify right side
    2,208.42x = 3,233,276.30
  5. Step 5: Solve for x
    x = 3,233,276.30/2,208.42
  6. Step 6: Final answer
    x = 1,464.07

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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.