Home / 1,546.30-2,134.64-1,042.28

Finding the Fourth Proportional to 1,546.30, 2,134.64 and 1,042.28

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Solution

The fourth proportional to 1,546.30, 2,134.64 and 1,042.28 is: 1,438.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,546.30 : 2,134.64 = 1,042.28 : x
  2. Step 2: Convert to fraction form
    1,546.30/2,134.64 = 1,042.28/x
  3. Step 3: Cross multiply
    1,546.30x = 2,134.64 × 1,042.28
  4. Step 4: Simplify right side
    1,546.30x = 2,224,884.51
  5. Step 5: Solve for x
    x = 2,224,884.51/1,546.30
  6. Step 6: Final answer
    x = 1,438.85

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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.