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Finding the Fourth Proportional to 2,667.64, 4,004.34 and 1,129.72

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Solution

The fourth proportional to 2,667.64, 4,004.34 and 1,129.72 is: 1,695.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,667.64 : 4,004.34 = 1,129.72 : x
  2. Step 2: Convert to fraction form
    2,667.64/4,004.34 = 1,129.72/x
  3. Step 3: Cross multiply
    2,667.64x = 4,004.34 × 1,129.72
  4. Step 4: Simplify right side
    2,667.64x = 4,523,782.98
  5. Step 5: Solve for x
    x = 4,523,782.98/2,667.64
  6. Step 6: Final answer
    x = 1,695.80

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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.