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Finding the Fourth Proportional to 2,768.57, 4,148.53 and 1,740.41

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Solution

The fourth proportional to 2,768.57, 4,148.53 and 1,740.41 is: 2,607.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,768.57 : 4,148.53 = 1,740.41 : x
  2. Step 2: Convert to fraction form
    2,768.57/4,148.53 = 1,740.41/x
  3. Step 3: Cross multiply
    2,768.57x = 4,148.53 × 1,740.41
  4. Step 4: Simplify right side
    2,768.57x = 7,220,143.10
  5. Step 5: Solve for x
    x = 7,220,143.10/2,768.57
  6. Step 6: Final answer
    x = 2,607.90

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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.