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Finding the Fourth Proportional to 2,675.16, 3,690.72 and 1,680.06

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Solution

The fourth proportional to 2,675.16, 3,690.72 and 1,680.06 is: 2,317.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,675.16 : 3,690.72 = 1,680.06 : x
  2. Step 2: Convert to fraction form
    2,675.16/3,690.72 = 1,680.06/x
  3. Step 3: Cross multiply
    2,675.16x = 3,690.72 × 1,680.06
  4. Step 4: Simplify right side
    2,675.16x = 6,200,631.04
  5. Step 5: Solve for x
    x = 6,200,631.04/2,675.16
  6. Step 6: Final answer
    x = 2,317.85

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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.