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Finding the Fourth Proportional to 1,919.66, 2,878.55 and 620.96

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Solution

The fourth proportional to 1,919.66, 2,878.55 and 620.96 is: 931.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,919.66 : 2,878.55 = 620.96 : x
  2. Step 2: Convert to fraction form
    1,919.66/2,878.55 = 620.96/x
  3. Step 3: Cross multiply
    1,919.66x = 2,878.55 × 620.96
  4. Step 4: Simplify right side
    1,919.66x = 1,787,470.83
  5. Step 5: Solve for x
    x = 1,787,470.83/1,919.66
  6. Step 6: Final answer
    x = 931.14

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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.