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Finding the Fourth Proportional to 1,946.33, 2,919.66 and 612.03

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Solution

The fourth proportional to 1,946.33, 2,919.66 and 612.03 is: 918.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,946.33 : 2,919.66 = 612.03 : x
  2. Step 2: Convert to fraction form
    1,946.33/2,919.66 = 612.03/x
  3. Step 3: Cross multiply
    1,946.33x = 2,919.66 × 612.03
  4. Step 4: Simplify right side
    1,946.33x = 1,786,919.51
  5. Step 5: Solve for x
    x = 1,786,919.51/1,946.33
  6. Step 6: Final answer
    x = 918.10

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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.