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Finding the Fourth Proportional to 1,704, 2,351.52 and 1,263.99

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Solution

The fourth proportional to 1,704, 2,351.52 and 1,263.99 is: 1,744.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,704 : 2,351.52 = 1,263.99 : x
  2. Step 2: Convert to fraction form
    1,704/2,351.52 = 1,263.99/x
  3. Step 3: Cross multiply
    1,704x = 2,351.52 × 1,263.99
  4. Step 4: Simplify right side
    1,704x = 2,972,297.76
  5. Step 5: Solve for x
    x = 2,972,297.76/1,704
  6. Step 6: Final answer
    x = 1,744.31

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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.