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Finding the Fourth Proportional to 2,273.81, 3,404.16 and 1,402.25

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Solution

The fourth proportional to 2,273.81, 3,404.16 and 1,402.25 is: 2,099.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,273.81 : 3,404.16 = 1,402.25 : x
  2. Step 2: Convert to fraction form
    2,273.81/3,404.16 = 1,402.25/x
  3. Step 3: Cross multiply
    2,273.81x = 3,404.16 × 1,402.25
  4. Step 4: Simplify right side
    2,273.81x = 4,773,466.34
  5. Step 5: Solve for x
    x = 4,773,466.34/2,273.81
  6. Step 6: Final answer
    x = 2,099.33

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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.