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Finding the Fourth Proportional to 2,073.35, 3,104.73 and 1,147.88

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Solution

The fourth proportional to 2,073.35, 3,104.73 and 1,147.88 is: 1,718.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,073.35 : 3,104.73 = 1,147.88 : x
  2. Step 2: Convert to fraction form
    2,073.35/3,104.73 = 1,147.88/x
  3. Step 3: Cross multiply
    2,073.35x = 3,104.73 × 1,147.88
  4. Step 4: Simplify right side
    2,073.35x = 3,563,865.23
  5. Step 5: Solve for x
    x = 3,563,865.23/2,073.35
  6. Step 6: Final answer
    x = 1,718.89

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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.