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Finding the Fourth Proportional to 2,353.74, 3,527.93 and 965.30

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Solution

The fourth proportional to 2,353.74, 3,527.93 and 965.30 is: 1,446.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,353.74 : 3,527.93 = 965.30 : x
  2. Step 2: Convert to fraction form
    2,353.74/3,527.93 = 965.30/x
  3. Step 3: Cross multiply
    2,353.74x = 3,527.93 × 965.30
  4. Step 4: Simplify right side
    2,353.74x = 3,405,488.36
  5. Step 5: Solve for x
    x = 3,405,488.36/2,353.74
  6. Step 6: Final answer
    x = 1,446.84

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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.