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Finding the Fourth Proportional to 2,768.58, 4,148.52 and 1,740.42

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Solution

The fourth proportional to 2,768.58, 4,148.52 and 1,740.42 is: 2,607.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,768.58 : 4,148.52 = 1,740.42 : x
  2. Step 2: Convert to fraction form
    2,768.58/4,148.52 = 1,740.42/x
  3. Step 3: Cross multiply
    2,768.58x = 4,148.52 × 1,740.42
  4. Step 4: Simplify right side
    2,768.58x = 7,220,167.18
  5. Step 5: Solve for x
    x = 7,220,167.18/2,768.58
  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.