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Finding the Fourth Proportional to 2,190.72, 3,023.20 and 1,405.60

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Solution

The fourth proportional to 2,190.72, 3,023.20 and 1,405.60 is: 1,939.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,190.72 : 3,023.20 = 1,405.60 : x
  2. Step 2: Convert to fraction form
    2,190.72/3,023.20 = 1,405.60/x
  3. Step 3: Cross multiply
    2,190.72x = 3,023.20 × 1,405.60
  4. Step 4: Simplify right side
    2,190.72x = 4,249,409.92
  5. Step 5: Solve for x
    x = 4,249,409.92/2,190.72
  6. Step 6: Final answer
    x = 1,939.73

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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.