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Finding the Fourth Proportional to 2,651.58, 3,984.48 and 2,500.50

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Solution

The fourth proportional to 2,651.58, 3,984.48 and 2,500.50 is: 3,757.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,651.58 : 3,984.48 = 2,500.50 : x
  2. Step 2: Convert to fraction form
    2,651.58/3,984.48 = 2,500.50/x
  3. Step 3: Cross multiply
    2,651.58x = 3,984.48 × 2,500.50
  4. Step 4: Simplify right side
    2,651.58x = 9,963,192.24
  5. Step 5: Solve for x
    x = 9,963,192.24/2,651.58
  6. Step 6: Final answer
    x = 3,757.45

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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.