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Finding the Fourth Proportional to 2,984.80, 4,119.82 and 1,865.04

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Solution

The fourth proportional to 2,984.80, 4,119.82 and 1,865.04 is: 2,574.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,984.80 : 4,119.82 = 1,865.04 : x
  2. Step 2: Convert to fraction form
    2,984.80/4,119.82 = 1,865.04/x
  3. Step 3: Cross multiply
    2,984.80x = 4,119.82 × 1,865.04
  4. Step 4: Simplify right side
    2,984.80x = 7,683,629.09
  5. Step 5: Solve for x
    x = 7,683,629.09/2,984.80
  6. Step 6: Final answer
    x = 2,574.25

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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.