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Finding the Fourth Proportional to 2,288.30, 3,430.05 and 1,408.49

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Solution

The fourth proportional to 2,288.30, 3,430.05 and 1,408.49 is: 2,111.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,288.30 : 3,430.05 = 1,408.49 : x
  2. Step 2: Convert to fraction form
    2,288.30/3,430.05 = 1,408.49/x
  3. Step 3: Cross multiply
    2,288.30x = 3,430.05 × 1,408.49
  4. Step 4: Simplify right side
    2,288.30x = 4,831,181.56
  5. Step 5: Solve for x
    x = 4,831,181.56/2,288.30
  6. Step 6: Final answer
    x = 2,111.25

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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.