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Finding the Fourth Proportional to 3,083.68, 4,254 and 1,904.32

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Solution

The fourth proportional to 3,083.68, 4,254 and 1,904.32 is: 2,627.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,083.68 : 4,254 = 1,904.32 : x
  2. Step 2: Convert to fraction form
    3,083.68/4,254 = 1,904.32/x
  3. Step 3: Cross multiply
    3,083.68x = 4,254 × 1,904.32
  4. Step 4: Simplify right side
    3,083.68x = 8,100,977.28
  5. Step 5: Solve for x
    x = 8,100,977.28/3,083.68
  6. Step 6: Final answer
    x = 2,627.05

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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.