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Finding the Fourth Proportional to 2,315.15, 3,471.79 and 853.98

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Solution

The fourth proportional to 2,315.15, 3,471.79 and 853.98 is: 1,280.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,315.15 : 3,471.79 = 853.98 : x
  2. Step 2: Convert to fraction form
    2,315.15/3,471.79 = 853.98/x
  3. Step 3: Cross multiply
    2,315.15x = 3,471.79 × 853.98
  4. Step 4: Simplify right side
    2,315.15x = 2,964,839.22
  5. Step 5: Solve for x
    x = 2,964,839.22/2,315.15
  6. Step 6: Final answer
    x = 1,280.63

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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.