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Finding the Fourth Proportional to 2,662.64, 3,674.38 and 1,543.56

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Solution

The fourth proportional to 2,662.64, 3,674.38 and 1,543.56 is: 2,130.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,662.64 : 3,674.38 = 1,543.56 : x
  2. Step 2: Convert to fraction form
    2,662.64/3,674.38 = 1,543.56/x
  3. Step 3: Cross multiply
    2,662.64x = 3,674.38 × 1,543.56
  4. Step 4: Simplify right side
    2,662.64x = 5,671,611.25
  5. Step 5: Solve for x
    x = 5,671,611.25/2,662.64
  6. Step 6: Final answer
    x = 2,130.07

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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.