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Finding the Fourth Proportional to 2,052.59, 3,078.09 and 735.98

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Solution

The fourth proportional to 2,052.59, 3,078.09 and 735.98 is: 1,103.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,052.59 : 3,078.09 = 735.98 : x
  2. Step 2: Convert to fraction form
    2,052.59/3,078.09 = 735.98/x
  3. Step 3: Cross multiply
    2,052.59x = 3,078.09 × 735.98
  4. Step 4: Simplify right side
    2,052.59x = 2,265,397.29
  5. Step 5: Solve for x
    x = 2,265,397.29/2,052.59
  6. Step 6: Final answer
    x = 1,103.68

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Why These Related Problems?

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