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Finding the Fourth Proportional to 2,642.94, 3,961.40 and 1,254.32

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Solution

The fourth proportional to 2,642.94, 3,961.40 and 1,254.32 is: 1,880.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,642.94 : 3,961.40 = 1,254.32 : x
  2. Step 2: Convert to fraction form
    2,642.94/3,961.40 = 1,254.32/x
  3. Step 3: Cross multiply
    2,642.94x = 3,961.40 × 1,254.32
  4. Step 4: Simplify right side
    2,642.94x = 4,968,863.25
  5. Step 5: Solve for x
    x = 4,968,863.25/2,642.94
  6. Step 6: Final answer
    x = 1,880.05

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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.