Home / 1,546.24-2,133.48-916.97

Finding the Fourth Proportional to 1,546.24, 2,133.48 and 916.97

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Solution

The fourth proportional to 1,546.24, 2,133.48 and 916.97 is: 1,265.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,546.24 : 2,133.48 = 916.97 : x
  2. Step 2: Convert to fraction form
    1,546.24/2,133.48 = 916.97/x
  3. Step 3: Cross multiply
    1,546.24x = 2,133.48 × 916.97
  4. Step 4: Simplify right side
    1,546.24x = 1,956,337.16
  5. Step 5: Solve for x
    x = 1,956,337.16/1,546.24
  6. Step 6: Final answer
    x = 1,265.22

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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.