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Finding the Fourth Proportional to 2,190.40, 3,284.82 and 957.46

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Solution

The fourth proportional to 2,190.40, 3,284.82 and 957.46 is: 1,435.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,190.40 : 3,284.82 = 957.46 : x
  2. Step 2: Convert to fraction form
    2,190.40/3,284.82 = 957.46/x
  3. Step 3: Cross multiply
    2,190.40x = 3,284.82 × 957.46
  4. Step 4: Simplify right side
    2,190.40x = 3,145,083.76
  5. Step 5: Solve for x
    x = 3,145,083.76/2,190.40
  6. Step 6: Final answer
    x = 1,435.85

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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.