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Finding the Fourth Proportional to 2,354.85, 3,249.05 and 1,410.21

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Solution

The fourth proportional to 2,354.85, 3,249.05 and 1,410.21 is: 1,945.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,354.85 : 3,249.05 = 1,410.21 : x
  2. Step 2: Convert to fraction form
    2,354.85/3,249.05 = 1,410.21/x
  3. Step 3: Cross multiply
    2,354.85x = 3,249.05 × 1,410.21
  4. Step 4: Simplify right side
    2,354.85x = 4,581,835.75
  5. Step 5: Solve for x
    x = 4,581,835.75/2,354.85
  6. Step 6: Final answer
    x = 1,945.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.