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Finding the Fourth Proportional to 2,351.34, 3,526.74 and 963.36

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Solution

The fourth proportional to 2,351.34, 3,526.74 and 963.36 is: 1,444.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,351.34 : 3,526.74 = 963.36 : x
  2. Step 2: Convert to fraction form
    2,351.34/3,526.74 = 963.36/x
  3. Step 3: Cross multiply
    2,351.34x = 3,526.74 × 963.36
  4. Step 4: Simplify right side
    2,351.34x = 3,397,520.25
  5. Step 5: Solve for x
    x = 3,397,520.25/2,351.34
  6. Step 6: Final answer
    x = 1,444.93

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