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Finding the Fourth Proportional to 1,645.64, 2,467.92 and 549.68

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Solution

The fourth proportional to 1,645.64, 2,467.92 and 549.68 is: 824.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,645.64 : 2,467.92 = 549.68 : x
  2. Step 2: Convert to fraction form
    1,645.64/2,467.92 = 549.68/x
  3. Step 3: Cross multiply
    1,645.64x = 2,467.92 × 549.68
  4. Step 4: Simplify right side
    1,645.64x = 1,356,566.27
  5. Step 5: Solve for x
    x = 1,356,566.27/1,645.64
  6. Step 6: Final answer
    x = 824.34

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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.