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Finding the Fourth Proportional to 2,190.31, 3,283.58 and 956.81

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Solution

The fourth proportional to 2,190.31, 3,283.58 and 956.81 is: 1,434.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,190.31 : 3,283.58 = 956.81 : x
  2. Step 2: Convert to fraction form
    2,190.31/3,283.58 = 956.81/x
  3. Step 3: Cross multiply
    2,190.31x = 3,283.58 × 956.81
  4. Step 4: Simplify right side
    2,190.31x = 3,141,764.57
  5. Step 5: Solve for x
    x = 3,141,764.57/2,190.31
  6. Step 6: Final answer
    x = 1,434.40

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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.