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Finding the Fourth Proportional to 1,688.63, 2,534.24 and 1,172.25

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Solution

The fourth proportional to 1,688.63, 2,534.24 and 1,172.25 is: 1,759.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,688.63 : 2,534.24 = 1,172.25 : x
  2. Step 2: Convert to fraction form
    1,688.63/2,534.24 = 1,172.25/x
  3. Step 3: Cross multiply
    1,688.63x = 2,534.24 × 1,172.25
  4. Step 4: Simplify right side
    1,688.63x = 2,970,765.77
  5. Step 5: Solve for x
    x = 2,970,765.77/1,688.63
  6. Step 6: Final answer
    x = 1,759.28

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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.