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Finding the Fourth Proportional to 2,739.17, 4,109.15 and 889.70

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Solution

The fourth proportional to 2,739.17, 4,109.15 and 889.70 is: 1,334.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,739.17 : 4,109.15 = 889.70 : x
  2. Step 2: Convert to fraction form
    2,739.17/4,109.15 = 889.70/x
  3. Step 3: Cross multiply
    2,739.17x = 4,109.15 × 889.70
  4. Step 4: Simplify right side
    2,739.17x = 3,655,885.76
  5. Step 5: Solve for x
    x = 3,655,885.76/2,739.17
  6. Step 6: Final answer
    x = 1,334.67

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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.