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Finding the Fourth Proportional to 2,446.85, 3,652.37 and 2,102.40

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Solution

The fourth proportional to 2,446.85, 3,652.37 and 2,102.40 is: 3,138.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,446.85 : 3,652.37 = 2,102.40 : x
  2. Step 2: Convert to fraction form
    2,446.85/3,652.37 = 2,102.40/x
  3. Step 3: Cross multiply
    2,446.85x = 3,652.37 × 2,102.40
  4. Step 4: Simplify right side
    2,446.85x = 7,678,742.69
  5. Step 5: Solve for x
    x = 7,678,742.69/2,446.85
  6. Step 6: Final answer
    x = 3,138.22

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.