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Finding the Fourth Proportional to 1,645.20, 2,467.71 and 549.45

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Solution

The fourth proportional to 1,645.20, 2,467.71 and 549.45 is: 824.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,645.20 : 2,467.71 = 549.45 : x
  2. Step 2: Convert to fraction form
    1,645.20/2,467.71 = 549.45/x
  3. Step 3: Cross multiply
    1,645.20x = 2,467.71 × 549.45
  4. Step 4: Simplify right side
    1,645.20x = 1,355,883.26
  5. Step 5: Solve for x
    x = 1,355,883.26/1,645.20
  6. Step 6: Final answer
    x = 824.14

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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.