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Finding the Fourth Proportional to 2,313.60, 3,472.07 and 908.22

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Solution

The fourth proportional to 2,313.60, 3,472.07 and 908.22 is: 1,362.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,313.60 : 3,472.07 = 908.22 : x
  2. Step 2: Convert to fraction form
    2,313.60/3,472.07 = 908.22/x
  3. Step 3: Cross multiply
    2,313.60x = 3,472.07 × 908.22
  4. Step 4: Simplify right side
    2,313.60x = 3,153,398.87
  5. Step 5: Solve for x
    x = 3,153,398.87/2,313.60
  6. Step 6: Final answer
    x = 1,362.98

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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.