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Finding the Fourth Proportional to 1,643.53, 2,267.97 and 897.34

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Solution

The fourth proportional to 1,643.53, 2,267.97 and 897.34 is: 1,238.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,643.53 : 2,267.97 = 897.34 : x
  2. Step 2: Convert to fraction form
    1,643.53/2,267.97 = 897.34/x
  3. Step 3: Cross multiply
    1,643.53x = 2,267.97 × 897.34
  4. Step 4: Simplify right side
    1,643.53x = 2,035,124.37
  5. Step 5: Solve for x
    x = 2,035,124.37/1,643.53
  6. Step 6: Final answer
    x = 1,238.27

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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.