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Finding the Fourth Proportional to 2,186.80, 3,281.80 and 1,704

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Solution

The fourth proportional to 2,186.80, 3,281.80 and 1,704 is: 2,557.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,186.80 : 3,281.80 = 1,704 : x
  2. Step 2: Convert to fraction form
    2,186.80/3,281.80 = 1,704/x
  3. Step 3: Cross multiply
    2,186.80x = 3,281.80 × 1,704
  4. Step 4: Simplify right side
    2,186.80x = 5,592,187.20
  5. Step 5: Solve for x
    x = 5,592,187.20/2,186.80
  6. Step 6: Final answer
    x = 2,557.25

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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.