Home / 1,546.36-2,133.22-916.46

Finding the Fourth Proportional to 1,546.36, 2,133.22 and 916.46

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Solution

The fourth proportional to 1,546.36, 2,133.22 and 916.46 is: 1,264.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,546.36 : 2,133.22 = 916.46 : x
  2. Step 2: Convert to fraction form
    1,546.36/2,133.22 = 916.46/x
  3. Step 3: Cross multiply
    1,546.36x = 2,133.22 × 916.46
  4. Step 4: Simplify right side
    1,546.36x = 1,955,010.80
  5. Step 5: Solve for x
    x = 1,955,010.80/1,546.36
  6. Step 6: Final answer
    x = 1,264.27

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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.