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Finding the Fourth Proportional to 2,600.50, 3,900.78 and 751.63

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Solution

The fourth proportional to 2,600.50, 3,900.78 and 751.63 is: 1,127.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,600.50 : 3,900.78 = 751.63 : x
  2. Step 2: Convert to fraction form
    2,600.50/3,900.78 = 751.63/x
  3. Step 3: Cross multiply
    2,600.50x = 3,900.78 × 751.63
  4. Step 4: Simplify right side
    2,600.50x = 2,931,943.27
  5. Step 5: Solve for x
    x = 2,931,943.27/2,600.50
  6. Step 6: Final answer
    x = 1,127.45

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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.