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Finding the Fourth Proportional to 2,993.24, 4,130.46 and 1,667.24

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Solution

The fourth proportional to 2,993.24, 4,130.46 and 1,667.24 is: 2,300.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,993.24 : 4,130.46 = 1,667.24 : x
  2. Step 2: Convert to fraction form
    2,993.24/4,130.46 = 1,667.24/x
  3. Step 3: Cross multiply
    2,993.24x = 4,130.46 × 1,667.24
  4. Step 4: Simplify right side
    2,993.24x = 6,886,468.13
  5. Step 5: Solve for x
    x = 6,886,468.13/2,993.24
  6. Step 6: Final answer
    x = 2,300.67

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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.