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Finding the Fourth Proportional to 2,541.94, 3,806.43 and 1,240

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Solution

The fourth proportional to 2,541.94, 3,806.43 and 1,240 is: 1,856.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,541.94 : 3,806.43 = 1,240 : x
  2. Step 2: Convert to fraction form
    2,541.94/3,806.43 = 1,240/x
  3. Step 3: Cross multiply
    2,541.94x = 3,806.43 × 1,240
  4. Step 4: Simplify right side
    2,541.94x = 4,719,973.20
  5. Step 5: Solve for x
    x = 4,719,973.20/2,541.94
  6. Step 6: Final answer
    x = 1,856.84

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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.