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Finding the Fourth Proportional to 1,921.94, 2,652.13 and 1,135.83

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Solution

The fourth proportional to 1,921.94, 2,652.13 and 1,135.83 is: 1,567.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,921.94 : 2,652.13 = 1,135.83 : x
  2. Step 2: Convert to fraction form
    1,921.94/2,652.13 = 1,135.83/x
  3. Step 3: Cross multiply
    1,921.94x = 2,652.13 × 1,135.83
  4. Step 4: Simplify right side
    1,921.94x = 3,012,370.24
  5. Step 5: Solve for x
    x = 3,012,370.24/1,921.94
  6. Step 6: Final answer
    x = 1,567.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.