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Finding the Fourth Proportional to 2,762.88, 4,142.76 and 2,527.50

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Solution

The fourth proportional to 2,762.88, 4,142.76 and 2,527.50 is: 3,789.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,762.88 : 4,142.76 = 2,527.50 : x
  2. Step 2: Convert to fraction form
    2,762.88/4,142.76 = 2,527.50/x
  3. Step 3: Cross multiply
    2,762.88x = 4,142.76 × 2,527.50
  4. Step 4: Simplify right side
    2,762.88x = 10,470,825.90
  5. Step 5: Solve for x
    x = 10,470,825.90/2,762.88
  6. Step 6: Final answer
    x = 3,789.82

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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.