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Finding the Fourth Proportional to 3,112.64, 4,667.64 and 1,552.04

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Solution

The fourth proportional to 3,112.64, 4,667.64 and 1,552.04 is: 2,327.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,112.64 : 4,667.64 = 1,552.04 : x
  2. Step 2: Convert to fraction form
    3,112.64/4,667.64 = 1,552.04/x
  3. Step 3: Cross multiply
    3,112.64x = 4,667.64 × 1,552.04
  4. Step 4: Simplify right side
    3,112.64x = 7,244,363.99
  5. Step 5: Solve for x
    x = 7,244,363.99/3,112.64
  6. Step 6: Final answer
    x = 2,327.40

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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.