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Finding the Fourth Proportional to 1,674.08, 2,509.75 and 633.50

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Solution

The fourth proportional to 1,674.08, 2,509.75 and 633.50 is: 949.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,674.08 : 2,509.75 = 633.50 : x
  2. Step 2: Convert to fraction form
    1,674.08/2,509.75 = 633.50/x
  3. Step 3: Cross multiply
    1,674.08x = 2,509.75 × 633.50
  4. Step 4: Simplify right side
    1,674.08x = 1,589,926.63
  5. Step 5: Solve for x
    x = 1,589,926.63/1,674.08
  6. Step 6: Final answer
    x = 949.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.