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Finding the Fourth Proportional to 2,354, 3,529.44 and 1,121.60

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Solution

The fourth proportional to 2,354, 3,529.44 and 1,121.60 is: 1,681.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,354 : 3,529.44 = 1,121.60 : x
  2. Step 2: Convert to fraction form
    2,354/3,529.44 = 1,121.60/x
  3. Step 3: Cross multiply
    2,354x = 3,529.44 × 1,121.60
  4. Step 4: Simplify right side
    2,354x = 3,958,619.90
  5. Step 5: Solve for x
    x = 3,958,619.90/2,354
  6. Step 6: Final answer
    x = 1,681.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.