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Finding the Fourth Proportional to 2,646.67, 3,652.64 and 1,467.96

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Solution

The fourth proportional to 2,646.67, 3,652.64 and 1,467.96 is: 2,025.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,646.67 : 3,652.64 = 1,467.96 : x
  2. Step 2: Convert to fraction form
    2,646.67/3,652.64 = 1,467.96/x
  3. Step 3: Cross multiply
    2,646.67x = 3,652.64 × 1,467.96
  4. Step 4: Simplify right side
    2,646.67x = 5,361,929.41
  5. Step 5: Solve for x
    x = 5,361,929.41/2,646.67
  6. Step 6: Final answer
    x = 2,025.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.