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Finding the Fourth Proportional to 2,353.47, 3,529.26 and 967.02

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Solution

The fourth proportional to 2,353.47, 3,529.26 and 967.02 is: 1,450.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,353.47 : 3,529.26 = 967.02 : x
  2. Step 2: Convert to fraction form
    2,353.47/3,529.26 = 967.02/x
  3. Step 3: Cross multiply
    2,353.47x = 3,529.26 × 967.02
  4. Step 4: Simplify right side
    2,353.47x = 3,412,865.01
  5. Step 5: Solve for x
    x = 3,412,865.01/2,353.47
  6. Step 6: Final answer
    x = 1,450.14

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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.