Home / 1,456.52-2,184.46-416.23

Finding the Fourth Proportional to 1,456.52, 2,184.46 and 416.23

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Solution

The fourth proportional to 1,456.52, 2,184.46 and 416.23 is: 624.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,456.52 : 2,184.46 = 416.23 : x
  2. Step 2: Convert to fraction form
    1,456.52/2,184.46 = 416.23/x
  3. Step 3: Cross multiply
    1,456.52x = 2,184.46 × 416.23
  4. Step 4: Simplify right side
    1,456.52x = 909,231.28
  5. Step 5: Solve for x
    x = 909,231.28/1,456.52
  6. Step 6: Final answer
    x = 624.25

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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.