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Finding the Fourth Proportional to 2,446.86, 3,652.38 and 2,102.40

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Solution

The fourth proportional to 2,446.86, 3,652.38 and 2,102.40 is: 3,138.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,446.86 : 3,652.38 = 2,102.40 : x
  2. Step 2: Convert to fraction form
    2,446.86/3,652.38 = 2,102.40/x
  3. Step 3: Cross multiply
    2,446.86x = 3,652.38 × 2,102.40
  4. Step 4: Simplify right side
    2,446.86x = 7,678,763.71
  5. Step 5: Solve for x
    x = 7,678,763.71/2,446.86
  6. Step 6: Final answer
    x = 3,138.21

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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.