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Finding the Fourth Proportional to 2,482.94, 3,718.96 and 1,825.96

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Solution

The fourth proportional to 2,482.94, 3,718.96 and 1,825.96 is: 2,734.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,482.94 : 3,718.96 = 1,825.96 : x
  2. Step 2: Convert to fraction form
    2,482.94/3,718.96 = 1,825.96/x
  3. Step 3: Cross multiply
    2,482.94x = 3,718.96 × 1,825.96
  4. Step 4: Simplify right side
    2,482.94x = 6,790,672.20
  5. Step 5: Solve for x
    x = 6,790,672.20/2,482.94
  6. Step 6: Final answer
    x = 2,734.93

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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.