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Finding the Fourth Proportional to 2,693, 3,716.76 and 1,645.68

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Solution

The fourth proportional to 2,693, 3,716.76 and 1,645.68 is: 2,271.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,693 : 3,716.76 = 1,645.68 : x
  2. Step 2: Convert to fraction form
    2,693/3,716.76 = 1,645.68/x
  3. Step 3: Cross multiply
    2,693x = 3,716.76 × 1,645.68
  4. Step 4: Simplify right side
    2,693x = 6,116,597.60
  5. Step 5: Solve for x
    x = 6,116,597.60/2,693
  6. Step 6: Final answer
    x = 2,271.30

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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.