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Finding the Fourth Proportional to 1,762.48, 2,638.32 and 1,577.44

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Solution

The fourth proportional to 1,762.48, 2,638.32 and 1,577.44 is: 2,361.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,762.48 : 2,638.32 = 1,577.44 : x
  2. Step 2: Convert to fraction form
    1,762.48/2,638.32 = 1,577.44/x
  3. Step 3: Cross multiply
    1,762.48x = 2,638.32 × 1,577.44
  4. Step 4: Simplify right side
    1,762.48x = 4,161,791.50
  5. Step 5: Solve for x
    x = 4,161,791.50/1,762.48
  6. Step 6: Final answer
    x = 2,361.33

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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.