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Finding the Fourth Proportional to 2,104.84, 2,903.79 and 1,265.56

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Solution

The fourth proportional to 2,104.84, 2,903.79 and 1,265.56 is: 1,745.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,104.84 : 2,903.79 = 1,265.56 : x
  2. Step 2: Convert to fraction form
    2,104.84/2,903.79 = 1,265.56/x
  3. Step 3: Cross multiply
    2,104.84x = 2,903.79 × 1,265.56
  4. Step 4: Simplify right side
    2,104.84x = 3,674,920.47
  5. Step 5: Solve for x
    x = 3,674,920.47/2,104.84
  6. Step 6: Final answer
    x = 1,745.94

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