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Finding the Fourth Proportional to 4,271.94, 6,410.19 and 1,674.90

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Solution

The fourth proportional to 4,271.94, 6,410.19 and 1,674.90 is: 2,513.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,271.94 : 6,410.19 = 1,674.90 : x
  2. Step 2: Convert to fraction form
    4,271.94/6,410.19 = 1,674.90/x
  3. Step 3: Cross multiply
    4,271.94x = 6,410.19 × 1,674.90
  4. Step 4: Simplify right side
    4,271.94x = 10,736,427.23
  5. Step 5: Solve for x
    x = 10,736,427.23/4,271.94
  6. Step 6: Final answer
    x = 2,513.24

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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.