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Finding the Fourth Proportional to 1,946.41, 2,919.63 and 559.76

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Solution

The fourth proportional to 1,946.41, 2,919.63 and 559.76 is: 839.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,946.41 : 2,919.63 = 559.76 : x
  2. Step 2: Convert to fraction form
    1,946.41/2,919.63 = 559.76/x
  3. Step 3: Cross multiply
    1,946.41x = 2,919.63 × 559.76
  4. Step 4: Simplify right side
    1,946.41x = 1,634,292.86
  5. Step 5: Solve for x
    x = 1,634,292.86/1,946.41
  6. Step 6: Final answer
    x = 839.64

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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.