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Finding the Fourth Proportional to 1,946.19, 2,919.68 and 559.55

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Solution

The fourth proportional to 1,946.19, 2,919.68 and 559.55 is: 839.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,946.19 : 2,919.68 = 559.55 : x
  2. Step 2: Convert to fraction form
    1,946.19/2,919.68 = 559.55/x
  3. Step 3: Cross multiply
    1,946.19x = 2,919.68 × 559.55
  4. Step 4: Simplify right side
    1,946.19x = 1,633,689.55
  5. Step 5: Solve for x
    x = 1,633,689.55/1,946.19
  6. Step 6: Final answer
    x = 839.43

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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.