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Finding the Fourth Proportional to 1,673.88, 2,510.36 and 633.16

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Solution

The fourth proportional to 1,673.88, 2,510.36 and 633.16 is: 949.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,673.88 : 2,510.36 = 633.16 : x
  2. Step 2: Convert to fraction form
    1,673.88/2,510.36 = 633.16/x
  3. Step 3: Cross multiply
    1,673.88x = 2,510.36 × 633.16
  4. Step 4: Simplify right side
    1,673.88x = 1,589,459.54
  5. Step 5: Solve for x
    x = 1,589,459.54/1,673.88
  6. Step 6: Final answer
    x = 949.57

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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.