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Finding the Fourth Proportional to 2,153.91, 3,209.20 and 2,012.46

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Solution

The fourth proportional to 2,153.91, 3,209.20 and 2,012.46 is: 2,998.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,153.91 : 3,209.20 = 2,012.46 : x
  2. Step 2: Convert to fraction form
    2,153.91/3,209.20 = 2,012.46/x
  3. Step 3: Cross multiply
    2,153.91x = 3,209.20 × 2,012.46
  4. Step 4: Simplify right side
    2,153.91x = 6,458,386.63
  5. Step 5: Solve for x
    x = 6,458,386.63/2,153.91
  6. Step 6: Final answer
    x = 2,998.45

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Why These Related Problems?

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