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Finding the Fourth Proportional to 2,900.76, 4,350.48 and 820.98

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Solution

The fourth proportional to 2,900.76, 4,350.48 and 820.98 is: 1,231.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,900.76 : 4,350.48 = 820.98 : x
  2. Step 2: Convert to fraction form
    2,900.76/4,350.48 = 820.98/x
  3. Step 3: Cross multiply
    2,900.76x = 4,350.48 × 820.98
  4. Step 4: Simplify right side
    2,900.76x = 3,571,657.07
  5. Step 5: Solve for x
    x = 3,571,657.07/2,900.76
  6. Step 6: Final answer
    x = 1,231.28

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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.