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Finding the Fourth Proportional to 2,454.19, 3,682.85 and 894.05

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Solution

The fourth proportional to 2,454.19, 3,682.85 and 894.05 is: 1,341.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,454.19 : 3,682.85 = 894.05 : x
  2. Step 2: Convert to fraction form
    2,454.19/3,682.85 = 894.05/x
  3. Step 3: Cross multiply
    2,454.19x = 3,682.85 × 894.05
  4. Step 4: Simplify right side
    2,454.19x = 3,292,652.04
  5. Step 5: Solve for x
    x = 3,292,652.04/2,454.19
  6. Step 6: Final answer
    x = 1,341.65

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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.