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Finding the Fourth Proportional to 1,919.58, 2,648.43 and 1,172.74

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Solution

The fourth proportional to 1,919.58, 2,648.43 and 1,172.74 is: 1,618.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,919.58 : 2,648.43 = 1,172.74 : x
  2. Step 2: Convert to fraction form
    1,919.58/2,648.43 = 1,172.74/x
  3. Step 3: Cross multiply
    1,919.58x = 2,648.43 × 1,172.74
  4. Step 4: Simplify right side
    1,919.58x = 3,105,919.80
  5. Step 5: Solve for x
    x = 3,105,919.80/1,919.58
  6. Step 6: Final answer
    x = 1,618.02

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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.