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Finding the Fourth Proportional to 2,257.46, 3,384.57 and 958.22

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Solution

The fourth proportional to 2,257.46, 3,384.57 and 958.22 is: 1,436.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,257.46 : 3,384.57 = 958.22 : x
  2. Step 2: Convert to fraction form
    2,257.46/3,384.57 = 958.22/x
  3. Step 3: Cross multiply
    2,257.46x = 3,384.57 × 958.22
  4. Step 4: Simplify right side
    2,257.46x = 3,243,162.67
  5. Step 5: Solve for x
    x = 3,243,162.67/2,257.46
  6. Step 6: Final answer
    x = 1,436.64

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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.