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Finding the Fourth Proportional to 1,946.08, 2,918.62 and 559.42

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Solution

The fourth proportional to 1,946.08, 2,918.62 and 559.42 is: 838.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,946.08 : 2,918.62 = 559.42 : x
  2. Step 2: Convert to fraction form
    1,946.08/2,918.62 = 559.42/x
  3. Step 3: Cross multiply
    1,946.08x = 2,918.62 × 559.42
  4. Step 4: Simplify right side
    1,946.08x = 1,632,734.40
  5. Step 5: Solve for x
    x = 1,632,734.40/1,946.08
  6. Step 6: Final answer
    x = 838.99

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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.