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Finding the Fourth Proportional to 2,189.58, 3,021.90 and 1,245.74

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Solution

The fourth proportional to 2,189.58, 3,021.90 and 1,245.74 is: 1,719.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,189.58 : 3,021.90 = 1,245.74 : x
  2. Step 2: Convert to fraction form
    2,189.58/3,021.90 = 1,245.74/x
  3. Step 3: Cross multiply
    2,189.58x = 3,021.90 × 1,245.74
  4. Step 4: Simplify right side
    2,189.58x = 3,764,501.71
  5. Step 5: Solve for x
    x = 3,764,501.71/2,189.58
  6. Step 6: Final answer
    x = 1,719.28

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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.