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Finding the Fourth Proportional to 1,762.96, 2,642.32 and 722.92

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Solution

The fourth proportional to 1,762.96, 2,642.32 and 722.92 is: 1,083.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,762.96 : 2,642.32 = 722.92 : x
  2. Step 2: Convert to fraction form
    1,762.96/2,642.32 = 722.92/x
  3. Step 3: Cross multiply
    1,762.96x = 2,642.32 × 722.92
  4. Step 4: Simplify right side
    1,762.96x = 1,910,185.97
  5. Step 5: Solve for x
    x = 1,910,185.97/1,762.96
  6. Step 6: Final answer
    x = 1,083.51

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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.