Home / 1,456.48-2,184.45-416.26

Finding the Fourth Proportional to 1,456.48, 2,184.45 and 416.26

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Solution

The fourth proportional to 1,456.48, 2,184.45 and 416.26 is: 624.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,456.48 : 2,184.45 = 416.26 : x
  2. Step 2: Convert to fraction form
    1,456.48/2,184.45 = 416.26/x
  3. Step 3: Cross multiply
    1,456.48x = 2,184.45 × 416.26
  4. Step 4: Simplify right side
    1,456.48x = 909,299.16
  5. Step 5: Solve for x
    x = 909,299.16/1,456.48
  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.