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Finding the Fourth Proportional to 2,646.37, 3,969.75 and 891.37

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Solution

The fourth proportional to 2,646.37, 3,969.75 and 891.37 is: 1,337.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,646.37 : 3,969.75 = 891.37 : x
  2. Step 2: Convert to fraction form
    2,646.37/3,969.75 = 891.37/x
  3. Step 3: Cross multiply
    2,646.37x = 3,969.75 × 891.37
  4. Step 4: Simplify right side
    2,646.37x = 3,538,524.36
  5. Step 5: Solve for x
    x = 3,538,524.36/2,646.37
  6. Step 6: Final answer
    x = 1,337.12

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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.