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Finding the Fourth Proportional to 2,469.32, 3,405.06 and 1,536.20

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Solution

The fourth proportional to 2,469.32, 3,405.06 and 1,536.20 is: 2,118.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,469.32 : 3,405.06 = 1,536.20 : x
  2. Step 2: Convert to fraction form
    2,469.32/3,405.06 = 1,536.20/x
  3. Step 3: Cross multiply
    2,469.32x = 3,405.06 × 1,536.20
  4. Step 4: Simplify right side
    2,469.32x = 5,230,853.17
  5. Step 5: Solve for x
    x = 5,230,853.17/2,469.32
  6. Step 6: Final answer
    x = 2,118.34

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Why These Related Problems?

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