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Finding the Fourth Proportional to 2,333.97, 3,495.93 and 1,099.53

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Solution

The fourth proportional to 2,333.97, 3,495.93 and 1,099.53 is: 1,646.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,333.97 : 3,495.93 = 1,099.53 : x
  2. Step 2: Convert to fraction form
    2,333.97/3,495.93 = 1,099.53/x
  3. Step 3: Cross multiply
    2,333.97x = 3,495.93 × 1,099.53
  4. Step 4: Simplify right side
    2,333.97x = 3,843,879.91
  5. Step 5: Solve for x
    x = 3,843,879.91/2,333.97
  6. Step 6: Final answer
    x = 1,646.93

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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.