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Finding the Fourth Proportional to 1,791.54, 2,688.53 and 926.46

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Solution

The fourth proportional to 1,791.54, 2,688.53 and 926.46 is: 1,390.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,791.54 : 2,688.53 = 926.46 : x
  2. Step 2: Convert to fraction form
    1,791.54/2,688.53 = 926.46/x
  3. Step 3: Cross multiply
    1,791.54x = 2,688.53 × 926.46
  4. Step 4: Simplify right side
    1,791.54x = 2,490,810.87
  5. Step 5: Solve for x
    x = 2,490,810.87/1,791.54
  6. Step 6: Final answer
    x = 1,390.32

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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.