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Finding the Fourth Proportional to 1,619.64, 2,234.76 and 920.88

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Solution

The fourth proportional to 1,619.64, 2,234.76 and 920.88 is: 1,270.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,619.64 : 2,234.76 = 920.88 : x
  2. Step 2: Convert to fraction form
    1,619.64/2,234.76 = 920.88/x
  3. Step 3: Cross multiply
    1,619.64x = 2,234.76 × 920.88
  4. Step 4: Simplify right side
    1,619.64x = 2,057,945.79
  5. Step 5: Solve for x
    x = 2,057,945.79/1,619.64
  6. Step 6: Final answer
    x = 1,270.62

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.