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Finding the Fourth Proportional to 1,265.13, 1,894.75 and 1,221.34

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Solution

The fourth proportional to 1,265.13, 1,894.75 and 1,221.34 is: 1,829.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,265.13 : 1,894.75 = 1,221.34 : x
  2. Step 2: Convert to fraction form
    1,265.13/1,894.75 = 1,221.34/x
  3. Step 3: Cross multiply
    1,265.13x = 1,894.75 × 1,221.34
  4. Step 4: Simplify right side
    1,265.13x = 2,314,133.97
  5. Step 5: Solve for x
    x = 2,314,133.97/1,265.13
  6. Step 6: Final answer
    x = 1,829.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.