Home / 1,476.64-2,213.36-746.27

Finding the Fourth Proportional to 1,476.64, 2,213.36 and 746.27

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Solution

The fourth proportional to 1,476.64, 2,213.36 and 746.27 is: 1,118.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,476.64 : 2,213.36 = 746.27 : x
  2. Step 2: Convert to fraction form
    1,476.64/2,213.36 = 746.27/x
  3. Step 3: Cross multiply
    1,476.64x = 2,213.36 × 746.27
  4. Step 4: Simplify right side
    1,476.64x = 1,651,760.47
  5. Step 5: Solve for x
    x = 1,651,760.47/1,476.64
  6. Step 6: Final answer
    x = 1,118.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.