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Finding the Fourth Proportional to 2,757.12, 4,135.62 and 1,661.74

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Solution

The fourth proportional to 2,757.12, 4,135.62 and 1,661.74 is: 2,492.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,757.12 : 4,135.62 = 1,661.74 : x
  2. Step 2: Convert to fraction form
    2,757.12/4,135.62 = 1,661.74/x
  3. Step 3: Cross multiply
    2,757.12x = 4,135.62 × 1,661.74
  4. Step 4: Simplify right side
    2,757.12x = 6,872,325.18
  5. Step 5: Solve for x
    x = 6,872,325.18/2,757.12
  6. Step 6: Final answer
    x = 2,492.57

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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.