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Finding the Fourth Proportional to 2,255.46, 3,384.90 and 957.84

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Solution

The fourth proportional to 2,255.46, 3,384.90 and 957.84 is: 1,437.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,255.46 : 3,384.90 = 957.84 : x
  2. Step 2: Convert to fraction form
    2,255.46/3,384.90 = 957.84/x
  3. Step 3: Cross multiply
    2,255.46x = 3,384.90 × 957.84
  4. Step 4: Simplify right side
    2,255.46x = 3,242,192.62
  5. Step 5: Solve for x
    x = 3,242,192.62/2,255.46
  6. Step 6: Final answer
    x = 1,437.49

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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.