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Finding the Fourth Proportional to 2,336.51, 3,504.80 and 693.02

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Solution

The fourth proportional to 2,336.51, 3,504.80 and 693.02 is: 1,039.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,336.51 : 3,504.80 = 693.02 : x
  2. Step 2: Convert to fraction form
    2,336.51/3,504.80 = 693.02/x
  3. Step 3: Cross multiply
    2,336.51x = 3,504.80 × 693.02
  4. Step 4: Simplify right side
    2,336.51x = 2,428,906.99
  5. Step 5: Solve for x
    x = 2,428,906.99/2,336.51
  6. Step 6: Final answer
    x = 1,039.54

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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.