Home / 1,501.71-2,252.25-406.23

Finding the Fourth Proportional to 1,501.71, 2,252.25 and 406.23

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Solution

The fourth proportional to 1,501.71, 2,252.25 and 406.23 is: 609.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,501.71 : 2,252.25 = 406.23 : x
  2. Step 2: Convert to fraction form
    1,501.71/2,252.25 = 406.23/x
  3. Step 3: Cross multiply
    1,501.71x = 2,252.25 × 406.23
  4. Step 4: Simplify right side
    1,501.71x = 914,931.52
  5. Step 5: Solve for x
    x = 914,931.52/1,501.71
  6. Step 6: Final answer
    x = 609.26

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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.