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Finding the Fourth Proportional to 3,047.14, 4,204.74 and 1,720.90

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Solution

The fourth proportional to 3,047.14, 4,204.74 and 1,720.90 is: 2,374.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,047.14 : 4,204.74 = 1,720.90 : x
  2. Step 2: Convert to fraction form
    3,047.14/4,204.74 = 1,720.90/x
  3. Step 3: Cross multiply
    3,047.14x = 4,204.74 × 1,720.90
  4. Step 4: Simplify right side
    3,047.14x = 7,235,937.07
  5. Step 5: Solve for x
    x = 7,235,937.07/3,047.14
  6. Step 6: Final answer
    x = 2,374.67

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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.