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Finding the Fourth Proportional to 2,667.68, 4,001.76 and 1,512.32

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Solution

The fourth proportional to 2,667.68, 4,001.76 and 1,512.32 is: 2,268.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,667.68 : 4,001.76 = 1,512.32 : x
  2. Step 2: Convert to fraction form
    2,667.68/4,001.76 = 1,512.32/x
  3. Step 3: Cross multiply
    2,667.68x = 4,001.76 × 1,512.32
  4. Step 4: Simplify right side
    2,667.68x = 6,051,941.68
  5. Step 5: Solve for x
    x = 6,051,941.68/2,667.68
  6. Step 6: Final answer
    x = 2,268.62

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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.