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Finding the Fourth Proportional to 1,946.14, 2,919.15 and 647.62

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Solution

The fourth proportional to 1,946.14, 2,919.15 and 647.62 is: 971.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,946.14 : 2,919.15 = 647.62 : x
  2. Step 2: Convert to fraction form
    1,946.14/2,919.15 = 647.62/x
  3. Step 3: Cross multiply
    1,946.14x = 2,919.15 × 647.62
  4. Step 4: Simplify right side
    1,946.14x = 1,890,499.92
  5. Step 5: Solve for x
    x = 1,890,499.92/1,946.14
  6. Step 6: Final answer
    x = 971.41

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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.