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Finding the Fourth Proportional to 1,263.68, 1,884.77 and 1,241.80

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Solution

The fourth proportional to 1,263.68, 1,884.77 and 1,241.80 is: 1,852.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,263.68 : 1,884.77 = 1,241.80 : x
  2. Step 2: Convert to fraction form
    1,263.68/1,884.77 = 1,241.80/x
  3. Step 3: Cross multiply
    1,263.68x = 1,884.77 × 1,241.80
  4. Step 4: Simplify right side
    1,263.68x = 2,340,507.39
  5. Step 5: Solve for x
    x = 2,340,507.39/1,263.68
  6. Step 6: Final answer
    x = 1,852.14

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.