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Finding the Fourth Proportional to 1,762.46, 2,643.70 and 722.27

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Solution

The fourth proportional to 1,762.46, 2,643.70 and 722.27 is: 1,083.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,762.46 : 2,643.70 = 722.27 : x
  2. Step 2: Convert to fraction form
    1,762.46/2,643.70 = 722.27/x
  3. Step 3: Cross multiply
    1,762.46x = 2,643.70 × 722.27
  4. Step 4: Simplify right side
    1,762.46x = 1,909,471.36
  5. Step 5: Solve for x
    x = 1,909,471.36/1,762.46
  6. Step 6: Final answer
    x = 1,083.41

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