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Finding the Fourth Proportional to 2,353, 3,526.74 and 964.48

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Solution

The fourth proportional to 2,353, 3,526.74 and 964.48 is: 1,445.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,353 : 3,526.74 = 964.48 : x
  2. Step 2: Convert to fraction form
    2,353/3,526.74 = 964.48/x
  3. Step 3: Cross multiply
    2,353x = 3,526.74 × 964.48
  4. Step 4: Simplify right side
    2,353x = 3,401,470.20
  5. Step 5: Solve for x
    x = 3,401,470.20/2,353
  6. Step 6: Final answer
    x = 1,445.59

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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.