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Finding the Fourth Proportional to 2,884, 3,980.64 and 1,642.72

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Solution

The fourth proportional to 2,884, 3,980.64 and 1,642.72 is: 2,267.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,884 : 3,980.64 = 1,642.72 : x
  2. Step 2: Convert to fraction form
    2,884/3,980.64 = 1,642.72/x
  3. Step 3: Cross multiply
    2,884x = 3,980.64 × 1,642.72
  4. Step 4: Simplify right side
    2,884x = 6,539,076.94
  5. Step 5: Solve for x
    x = 6,539,076.94/2,884
  6. Step 6: Final answer
    x = 2,267.36

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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.