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Finding the Fourth Proportional to 1,618.88, 2,234.07 and 920.26

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Solution

The fourth proportional to 1,618.88, 2,234.07 and 920.26 is: 1,269.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,618.88 : 2,234.07 = 920.26 : x
  2. Step 2: Convert to fraction form
    1,618.88/2,234.07 = 920.26/x
  3. Step 3: Cross multiply
    1,618.88x = 2,234.07 × 920.26
  4. Step 4: Simplify right side
    1,618.88x = 2,055,925.26
  5. Step 5: Solve for x
    x = 2,055,925.26/1,618.88
  6. Step 6: Final answer
    x = 1,269.97

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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.