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Finding the Fourth Proportional to 1,643.88, 2,267.30 and 1,543.08

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Solution

The fourth proportional to 1,643.88, 2,267.30 and 1,543.08 is: 2,128.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,643.88 : 2,267.30 = 1,543.08 : x
  2. Step 2: Convert to fraction form
    1,643.88/2,267.30 = 1,543.08/x
  3. Step 3: Cross multiply
    1,643.88x = 2,267.30 × 1,543.08
  4. Step 4: Simplify right side
    1,643.88x = 3,498,625.28
  5. Step 5: Solve for x
    x = 3,498,625.28/1,643.88
  6. Step 6: Final answer
    x = 2,128.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.