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Finding the Fourth Proportional to 2,333.47, 3,495.18 and 1,099.03

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Solution

The fourth proportional to 2,333.47, 3,495.18 and 1,099.03 is: 1,646.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,333.47 : 3,495.18 = 1,099.03 : x
  2. Step 2: Convert to fraction form
    2,333.47/3,495.18 = 1,099.03/x
  3. Step 3: Cross multiply
    2,333.47x = 3,495.18 × 1,099.03
  4. Step 4: Simplify right side
    2,333.47x = 3,841,307.68
  5. Step 5: Solve for x
    x = 3,841,307.68/2,333.47
  6. Step 6: Final answer
    x = 1,646.18

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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.