Home / 1,515.34-2,272.62-419.64

Finding the Fourth Proportional to 1,515.34, 2,272.62 and 419.64

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Solution

The fourth proportional to 1,515.34, 2,272.62 and 419.64 is: 629.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,515.34 : 2,272.62 = 419.64 : x
  2. Step 2: Convert to fraction form
    1,515.34/2,272.62 = 419.64/x
  3. Step 3: Cross multiply
    1,515.34x = 2,272.62 × 419.64
  4. Step 4: Simplify right side
    1,515.34x = 953,682.26
  5. Step 5: Solve for x
    x = 953,682.26/1,515.34
  6. Step 6: Final answer
    x = 629.35

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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.