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Finding the Fourth Proportional to 1,641.35, 2,265.07 and 1,052.23

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Solution

The fourth proportional to 1,641.35, 2,265.07 and 1,052.23 is: 1,452.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,641.35 : 2,265.07 = 1,052.23 : x
  2. Step 2: Convert to fraction form
    1,641.35/2,265.07 = 1,052.23/x
  3. Step 3: Cross multiply
    1,641.35x = 2,265.07 × 1,052.23
  4. Step 4: Simplify right side
    1,641.35x = 2,383,363.28
  5. Step 5: Solve for x
    x = 2,383,363.28/1,641.35
  6. Step 6: Final answer
    x = 1,452.07

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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.