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Finding the Fourth Proportional to 2,152.91, 3,207.71 and 2,011.46

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Solution

The fourth proportional to 2,152.91, 3,207.71 and 2,011.46 is: 2,996.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,152.91 : 3,207.71 = 2,011.46 : x
  2. Step 2: Convert to fraction form
    2,152.91/3,207.71 = 2,011.46/x
  3. Step 3: Cross multiply
    2,152.91x = 3,207.71 × 2,011.46
  4. Step 4: Simplify right side
    2,152.91x = 6,452,169.35
  5. Step 5: Solve for x
    x = 6,452,169.35/2,152.91
  6. Step 6: Final answer
    x = 2,996.95

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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.