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Finding the Fourth Proportional to 2,306.23, 3,458.28 and 662.38

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Solution

The fourth proportional to 2,306.23, 3,458.28 and 662.38 is: 993.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,306.23 : 3,458.28 = 662.38 : x
  2. Step 2: Convert to fraction form
    2,306.23/3,458.28 = 662.38/x
  3. Step 3: Cross multiply
    2,306.23x = 3,458.28 × 662.38
  4. Step 4: Simplify right side
    2,306.23x = 2,290,695.51
  5. Step 5: Solve for x
    x = 2,290,695.51/2,306.23
  6. Step 6: Final answer
    x = 993.26

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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.