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Finding the Fourth Proportional to 2,539.50, 3,807.87 and 1,370.89

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Solution

The fourth proportional to 2,539.50, 3,807.87 and 1,370.89 is: 2,055.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,539.50 : 3,807.87 = 1,370.89 : x
  2. Step 2: Convert to fraction form
    2,539.50/3,807.87 = 1,370.89/x
  3. Step 3: Cross multiply
    2,539.50x = 3,807.87 × 1,370.89
  4. Step 4: Simplify right side
    2,539.50x = 5,220,170.90
  5. Step 5: Solve for x
    x = 5,220,170.90/2,539.50
  6. Step 6: Final answer
    x = 2,055.59

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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.