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Finding the Fourth Proportional to 2,378.13, 3,564.04 and 1,722.20

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Solution

The fourth proportional to 2,378.13, 3,564.04 and 1,722.20 is: 2,581.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,378.13 : 3,564.04 = 1,722.20 : x
  2. Step 2: Convert to fraction form
    2,378.13/3,564.04 = 1,722.20/x
  3. Step 3: Cross multiply
    2,378.13x = 3,564.04 × 1,722.20
  4. Step 4: Simplify right side
    2,378.13x = 6,137,989.69
  5. Step 5: Solve for x
    x = 6,137,989.69/2,378.13
  6. Step 6: Final answer
    x = 2,581.02

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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.