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Finding the Fourth Proportional to 2,751.10, 3,795.66 and 1,687.75

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Solution

The fourth proportional to 2,751.10, 3,795.66 and 1,687.75 is: 2,328.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,751.10 : 3,795.66 = 1,687.75 : x
  2. Step 2: Convert to fraction form
    2,751.10/3,795.66 = 1,687.75/x
  3. Step 3: Cross multiply
    2,751.10x = 3,795.66 × 1,687.75
  4. Step 4: Simplify right side
    2,751.10x = 6,406,125.17
  5. Step 5: Solve for x
    x = 6,406,125.17/2,751.10
  6. Step 6: Final answer
    x = 2,328.57

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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.