Home / 1,447.16-2,170.22-522.47

Finding the Fourth Proportional to 1,447.16, 2,170.22 and 522.47

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Solution

The fourth proportional to 1,447.16, 2,170.22 and 522.47 is: 783.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,447.16 : 2,170.22 = 522.47 : x
  2. Step 2: Convert to fraction form
    1,447.16/2,170.22 = 522.47/x
  3. Step 3: Cross multiply
    1,447.16x = 2,170.22 × 522.47
  4. Step 4: Simplify right side
    1,447.16x = 1,133,877.66
  5. Step 5: Solve for x
    x = 1,133,877.66/1,447.16
  6. Step 6: Final answer
    x = 783.52

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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.