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Finding the Fourth Proportional to 3,213, 4,434.21 and 2,034.99

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Solution

The fourth proportional to 3,213, 4,434.21 and 2,034.99 is: 2,808.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,213 : 4,434.21 = 2,034.99 : x
  2. Step 2: Convert to fraction form
    3,213/4,434.21 = 2,034.99/x
  3. Step 3: Cross multiply
    3,213x = 4,434.21 × 2,034.99
  4. Step 4: Simplify right side
    3,213x = 9,023,573.01
  5. Step 5: Solve for x
    x = 9,023,573.01/3,213
  6. Step 6: Final answer
    x = 2,808.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.