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Finding the Fourth Proportional to 2,888.21, 4,331.40 and 808.05

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Solution

The fourth proportional to 2,888.21, 4,331.40 and 808.05 is: 1,211.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,888.21 : 4,331.40 = 808.05 : x
  2. Step 2: Convert to fraction form
    2,888.21/4,331.40 = 808.05/x
  3. Step 3: Cross multiply
    2,888.21x = 4,331.40 × 808.05
  4. Step 4: Simplify right side
    2,888.21x = 3,499,991.07
  5. Step 5: Solve for x
    x = 3,499,991.07/2,888.21
  6. Step 6: Final answer
    x = 1,211.82

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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.