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Finding the Fourth Proportional to 2,354.01, 3,532.05 and 1,122.33

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Solution

The fourth proportional to 2,354.01, 3,532.05 and 1,122.33 is: 1,683.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,354.01 : 3,532.05 = 1,122.33 : x
  2. Step 2: Convert to fraction form
    2,354.01/3,532.05 = 1,122.33/x
  3. Step 3: Cross multiply
    2,354.01x = 3,532.05 × 1,122.33
  4. Step 4: Simplify right side
    2,354.01x = 3,964,125.68
  5. Step 5: Solve for x
    x = 3,964,125.68/2,354.01
  6. Step 6: Final answer
    x = 1,683.99

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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.