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Finding the Fourth Proportional to 1,540.53, 2,306.68 and 808.56

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Solution

The fourth proportional to 1,540.53, 2,306.68 and 808.56 is: 1,210.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,540.53 : 2,306.68 = 808.56 : x
  2. Step 2: Convert to fraction form
    1,540.53/2,306.68 = 808.56/x
  3. Step 3: Cross multiply
    1,540.53x = 2,306.68 × 808.56
  4. Step 4: Simplify right side
    1,540.53x = 1,865,087.16
  5. Step 5: Solve for x
    x = 1,865,087.16/1,540.53
  6. Step 6: Final answer
    x = 1,210.68

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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.