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Finding the Fourth Proportional to 2,314.24, 3,472.80 and 946.24

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Solution

The fourth proportional to 2,314.24, 3,472.80 and 946.24 is: 1,419.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,314.24 : 3,472.80 = 946.24 : x
  2. Step 2: Convert to fraction form
    2,314.24/3,472.80 = 946.24/x
  3. Step 3: Cross multiply
    2,314.24x = 3,472.80 × 946.24
  4. Step 4: Simplify right side
    2,314.24x = 3,286,102.27
  5. Step 5: Solve for x
    x = 3,286,102.27/2,314.24
  6. Step 6: Final answer
    x = 1,419.95

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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.