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Finding the Fourth Proportional to 1,643.50, 2,452.64 and 1,468.34

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Solution

The fourth proportional to 1,643.50, 2,452.64 and 1,468.34 is: 2,191.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,643.50 : 2,452.64 = 1,468.34 : x
  2. Step 2: Convert to fraction form
    1,643.50/2,452.64 = 1,468.34/x
  3. Step 3: Cross multiply
    1,643.50x = 2,452.64 × 1,468.34
  4. Step 4: Simplify right side
    1,643.50x = 3,601,309.42
  5. Step 5: Solve for x
    x = 3,601,309.42/1,643.50
  6. Step 6: Final answer
    x = 2,191.24

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.