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Finding the Fourth Proportional to 1,643.21, 2,267.64 and 897.19

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Solution

The fourth proportional to 1,643.21, 2,267.64 and 897.19 is: 1,238.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,643.21 : 2,267.64 = 897.19 : x
  2. Step 2: Convert to fraction form
    1,643.21/2,267.64 = 897.19/x
  3. Step 3: Cross multiply
    1,643.21x = 2,267.64 × 897.19
  4. Step 4: Simplify right side
    1,643.21x = 2,034,498.26
  5. Step 5: Solve for x
    x = 2,034,498.26/1,643.21
  6. Step 6: Final answer
    x = 1,238.12

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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.