Home / 1,456.28-2,184.09-416.27

Finding the Fourth Proportional to 1,456.28, 2,184.09 and 416.27

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Solution

The fourth proportional to 1,456.28, 2,184.09 and 416.27 is: 624.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,456.28 : 2,184.09 = 416.27 : x
  2. Step 2: Convert to fraction form
    1,456.28/2,184.09 = 416.27/x
  3. Step 3: Cross multiply
    1,456.28x = 2,184.09 × 416.27
  4. Step 4: Simplify right side
    1,456.28x = 909,160.22
  5. Step 5: Solve for x
    x = 909,160.22/1,456.28
  6. Step 6: Final answer
    x = 624.31

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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.