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Finding the Fourth Proportional to 2,347.32, 3,238.20 and 1,561.62

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Solution

The fourth proportional to 2,347.32, 3,238.20 and 1,561.62 is: 2,154.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,347.32 : 3,238.20 = 1,561.62 : x
  2. Step 2: Convert to fraction form
    2,347.32/3,238.20 = 1,561.62/x
  3. Step 3: Cross multiply
    2,347.32x = 3,238.20 × 1,561.62
  4. Step 4: Simplify right side
    2,347.32x = 5,056,837.88
  5. Step 5: Solve for x
    x = 5,056,837.88/2,347.32
  6. Step 6: Final answer
    x = 2,154.30

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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.