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Finding the Fourth Proportional to 2,639.04, 3,959.40 and 1,406.40

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Solution

The fourth proportional to 2,639.04, 3,959.40 and 1,406.40 is: 2,110.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,639.04 : 3,959.40 = 1,406.40 : x
  2. Step 2: Convert to fraction form
    2,639.04/3,959.40 = 1,406.40/x
  3. Step 3: Cross multiply
    2,639.04x = 3,959.40 × 1,406.40
  4. Step 4: Simplify right side
    2,639.04x = 5,568,500.16
  5. Step 5: Solve for x
    x = 5,568,500.16/2,639.04
  6. Step 6: Final answer
    x = 2,110.05

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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.