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Finding the Fourth Proportional to 1,638.31, 2,457.87 and 761.44

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Solution

The fourth proportional to 1,638.31, 2,457.87 and 761.44 is: 1,142.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,638.31 : 2,457.87 = 761.44 : x
  2. Step 2: Convert to fraction form
    1,638.31/2,457.87 = 761.44/x
  3. Step 3: Cross multiply
    1,638.31x = 2,457.87 × 761.44
  4. Step 4: Simplify right side
    1,638.31x = 1,871,520.53
  5. Step 5: Solve for x
    x = 1,871,520.53/1,638.31
  6. Step 6: Final answer
    x = 1,142.35

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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.