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Finding the Fourth Proportional to 2,124.20, 3,178.20 and 1,395.20

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Solution

The fourth proportional to 2,124.20, 3,178.20 and 1,395.20 is: 2,087.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,124.20 : 3,178.20 = 1,395.20 : x
  2. Step 2: Convert to fraction form
    2,124.20/3,178.20 = 1,395.20/x
  3. Step 3: Cross multiply
    2,124.20x = 3,178.20 × 1,395.20
  4. Step 4: Simplify right side
    2,124.20x = 4,434,224.64
  5. Step 5: Solve for x
    x = 4,434,224.64/2,124.20
  6. Step 6: Final answer
    x = 2,087.48

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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.