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Finding the Fourth Proportional to 2,913.94, 4,019.52 and 2,116.33

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Solution

The fourth proportional to 2,913.94, 4,019.52 and 2,116.33 is: 2,919.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,913.94 : 4,019.52 = 2,116.33 : x
  2. Step 2: Convert to fraction form
    2,913.94/4,019.52 = 2,116.33/x
  3. Step 3: Cross multiply
    2,913.94x = 4,019.52 × 2,116.33
  4. Step 4: Simplify right side
    2,913.94x = 8,506,628.65
  5. Step 5: Solve for x
    x = 8,506,628.65/2,913.94
  6. Step 6: Final answer
    x = 2,919.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.