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Finding the Fourth Proportional to 1,444.92, 1,990.62 and 1,181.40

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Solution

The fourth proportional to 1,444.92, 1,990.62 and 1,181.40 is: 1,627.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,444.92 : 1,990.62 = 1,181.40 : x
  2. Step 2: Convert to fraction form
    1,444.92/1,990.62 = 1,181.40/x
  3. Step 3: Cross multiply
    1,444.92x = 1,990.62 × 1,181.40
  4. Step 4: Simplify right side
    1,444.92x = 2,351,718.47
  5. Step 5: Solve for x
    x = 2,351,718.47/1,444.92
  6. Step 6: Final answer
    x = 1,627.58

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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.