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Finding the Fourth Proportional to 2,152.65, 3,207.34 and 2,011.21

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Solution

The fourth proportional to 2,152.65, 3,207.34 and 2,011.21 is: 2,996.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,152.65 : 3,207.34 = 2,011.21 : x
  2. Step 2: Convert to fraction form
    2,152.65/3,207.34 = 2,011.21/x
  3. Step 3: Cross multiply
    2,152.65x = 3,207.34 × 2,011.21
  4. Step 4: Simplify right side
    2,152.65x = 6,450,634.28
  5. Step 5: Solve for x
    x = 6,450,634.28/2,152.65
  6. Step 6: Final answer
    x = 2,996.60

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.