Home / 1,546.19-2,133.24-916.82

Finding the Fourth Proportional to 1,546.19, 2,133.24 and 916.82

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Solution

The fourth proportional to 1,546.19, 2,133.24 and 916.82 is: 1,264.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,546.19 : 2,133.24 = 916.82 : x
  2. Step 2: Convert to fraction form
    1,546.19/2,133.24 = 916.82/x
  3. Step 3: Cross multiply
    1,546.19x = 2,133.24 × 916.82
  4. Step 4: Simplify right side
    1,546.19x = 1,955,790.99
  5. Step 5: Solve for x
    x = 1,955,790.99/1,546.19
  6. Step 6: Final answer
    x = 1,264.91

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Why These Related Problems?

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