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Finding the Fourth Proportional to 2,229.91, 3,077.32 and 1,445.32

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Solution

The fourth proportional to 2,229.91, 3,077.32 and 1,445.32 is: 1,994.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,229.91 : 3,077.32 = 1,445.32 : x
  2. Step 2: Convert to fraction form
    2,229.91/3,077.32 = 1,445.32/x
  3. Step 3: Cross multiply
    2,229.91x = 3,077.32 × 1,445.32
  4. Step 4: Simplify right side
    2,229.91x = 4,447,712.14
  5. Step 5: Solve for x
    x = 4,447,712.14/2,229.91
  6. Step 6: Final answer
    x = 1,994.57

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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.