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Finding the Fourth Proportional to 2,334.02, 3,501.26 and 691.03

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Solution

The fourth proportional to 2,334.02, 3,501.26 and 691.03 is: 1,036.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,334.02 : 3,501.26 = 691.03 : x
  2. Step 2: Convert to fraction form
    2,334.02/3,501.26 = 691.03/x
  3. Step 3: Cross multiply
    2,334.02x = 3,501.26 × 691.03
  4. Step 4: Simplify right side
    2,334.02x = 2,419,479.21
  5. Step 5: Solve for x
    x = 2,419,479.21/2,334.02
  6. Step 6: Final answer
    x = 1,036.62

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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.