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Finding the Fourth Proportional to 2,674.32, 3,690.76 and 1,790.48

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Solution

The fourth proportional to 2,674.32, 3,690.76 and 1,790.48 is: 2,471.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,674.32 : 3,690.76 = 1,790.48 : x
  2. Step 2: Convert to fraction form
    2,674.32/3,690.76 = 1,790.48/x
  3. Step 3: Cross multiply
    2,674.32x = 3,690.76 × 1,790.48
  4. Step 4: Simplify right side
    2,674.32x = 6,608,231.96
  5. Step 5: Solve for x
    x = 6,608,231.96/2,674.32
  6. Step 6: Final answer
    x = 2,471.00

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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.