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Finding the Fourth Proportional to 2,333.75, 3,497.77 and 1,099.52

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Solution

The fourth proportional to 2,333.75, 3,497.77 and 1,099.52 is: 1,647.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,333.75 : 3,497.77 = 1,099.52 : x
  2. Step 2: Convert to fraction form
    2,333.75/3,497.77 = 1,099.52/x
  3. Step 3: Cross multiply
    2,333.75x = 3,497.77 × 1,099.52
  4. Step 4: Simplify right side
    2,333.75x = 3,845,868.07
  5. Step 5: Solve for x
    x = 3,845,868.07/2,333.75
  6. Step 6: Final answer
    x = 1,647.93

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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.