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Finding the Fourth Proportional to 2,825.65, 3,899.34 and 1,549.53

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Solution

The fourth proportional to 2,825.65, 3,899.34 and 1,549.53 is: 2,138.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,825.65 : 3,899.34 = 1,549.53 : x
  2. Step 2: Convert to fraction form
    2,825.65/3,899.34 = 1,549.53/x
  3. Step 3: Cross multiply
    2,825.65x = 3,899.34 × 1,549.53
  4. Step 4: Simplify right side
    2,825.65x = 6,042,124.81
  5. Step 5: Solve for x
    x = 6,042,124.81/2,825.65
  6. Step 6: Final answer
    x = 2,138.32

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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.