Home / 1,664.36-2,496.55-431.68

Finding the Fourth Proportional to 1,664.36, 2,496.55 and 431.68

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Solution

The fourth proportional to 1,664.36, 2,496.55 and 431.68 is: 647.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,664.36 : 2,496.55 = 431.68 : x
  2. Step 2: Convert to fraction form
    1,664.36/2,496.55 = 431.68/x
  3. Step 3: Cross multiply
    1,664.36x = 2,496.55 × 431.68
  4. Step 4: Simplify right side
    1,664.36x = 1,077,710.70
  5. Step 5: Solve for x
    x = 1,077,710.70/1,664.36
  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.