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Finding the Fourth Proportional to 1,946.58, 2,919.51 and 1,019.22

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Solution

The fourth proportional to 1,946.58, 2,919.51 and 1,019.22 is: 1,528.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,946.58 : 2,919.51 = 1,019.22 : x
  2. Step 2: Convert to fraction form
    1,946.58/2,919.51 = 1,019.22/x
  3. Step 3: Cross multiply
    1,946.58x = 2,919.51 × 1,019.22
  4. Step 4: Simplify right side
    1,946.58x = 2,975,622.98
  5. Step 5: Solve for x
    x = 2,975,622.98/1,946.58
  6. Step 6: Final answer
    x = 1,528.64

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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.