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Finding the Fourth Proportional to 2,159.40, 3,236.40 and 1,927.20

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Solution

The fourth proportional to 2,159.40, 3,236.40 and 1,927.20 is: 2,888.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,159.40 : 3,236.40 = 1,927.20 : x
  2. Step 2: Convert to fraction form
    2,159.40/3,236.40 = 1,927.20/x
  3. Step 3: Cross multiply
    2,159.40x = 3,236.40 × 1,927.20
  4. Step 4: Simplify right side
    2,159.40x = 6,237,190.08
  5. Step 5: Solve for x
    x = 6,237,190.08/2,159.40
  6. Step 6: Final answer
    x = 2,888.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.