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Finding the Fourth Proportional to 4,203.50, 6,306.12 and 1,740.02

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Solution

The fourth proportional to 4,203.50, 6,306.12 and 1,740.02 is: 2,610.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,203.50 : 6,306.12 = 1,740.02 : x
  2. Step 2: Convert to fraction form
    4,203.50/6,306.12 = 1,740.02/x
  3. Step 3: Cross multiply
    4,203.50x = 6,306.12 × 1,740.02
  4. Step 4: Simplify right side
    4,203.50x = 10,972,743.39
  5. Step 5: Solve for x
    x = 10,972,743.39/4,203.50
  6. Step 6: Final answer
    x = 2,610.39

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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.