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Finding the Fourth Proportional to 2,124.80, 3,191.04 and 1,395.84

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Solution

The fourth proportional to 2,124.80, 3,191.04 and 1,395.84 is: 2,096.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,124.80 : 3,191.04 = 1,395.84 : x
  2. Step 2: Convert to fraction form
    2,124.80/3,191.04 = 1,395.84/x
  3. Step 3: Cross multiply
    2,124.80x = 3,191.04 × 1,395.84
  4. Step 4: Simplify right side
    2,124.80x = 4,454,181.27
  5. Step 5: Solve for x
    x = 4,454,181.27/2,124.80
  6. Step 6: Final answer
    x = 2,096.28

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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.