Home / 1,664.40-2,496.41-431.71

Finding the Fourth Proportional to 1,664.40, 2,496.41 and 431.71

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Solution

The fourth proportional to 1,664.40, 2,496.41 and 431.71 is: 647.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,664.40 : 2,496.41 = 431.71 : x
  2. Step 2: Convert to fraction form
    1,664.40/2,496.41 = 431.71/x
  3. Step 3: Cross multiply
    1,664.40x = 2,496.41 × 431.71
  4. Step 4: Simplify right side
    1,664.40x = 1,077,725.16
  5. Step 5: Solve for x
    x = 1,077,725.16/1,664.40
  6. Step 6: Final answer
    x = 647.52

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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.