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Finding the Fourth Proportional to 2,900.68, 4,351 and 820.72

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Solution

The fourth proportional to 2,900.68, 4,351 and 820.72 is: 1,231.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,900.68 : 4,351 = 820.72 : x
  2. Step 2: Convert to fraction form
    2,900.68/4,351 = 820.72/x
  3. Step 3: Cross multiply
    2,900.68x = 4,351 × 820.72
  4. Step 4: Simplify right side
    2,900.68x = 3,570,952.72
  5. Step 5: Solve for x
    x = 3,570,952.72/2,900.68
  6. Step 6: Final answer
    x = 1,231.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.