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Finding the Fourth Proportional to 2,354.44, 3,532.82 and 1,665.54

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Solution

The fourth proportional to 2,354.44, 3,532.82 and 1,665.54 is: 2,499.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,354.44 : 3,532.82 = 1,665.54 : x
  2. Step 2: Convert to fraction form
    2,354.44/3,532.82 = 1,665.54/x
  3. Step 3: Cross multiply
    2,354.44x = 3,532.82 × 1,665.54
  4. Step 4: Simplify right side
    2,354.44x = 5,884,053.02
  5. Step 5: Solve for x
    x = 5,884,053.02/2,354.44
  6. Step 6: Final answer
    x = 2,499.13

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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.