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Finding the Fourth Proportional to 3,254.99, 4,491.87 and 1,762.88

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Solution

The fourth proportional to 3,254.99, 4,491.87 and 1,762.88 is: 2,432.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,254.99 : 4,491.87 = 1,762.88 : x
  2. Step 2: Convert to fraction form
    3,254.99/4,491.87 = 1,762.88/x
  3. Step 3: Cross multiply
    3,254.99x = 4,491.87 × 1,762.88
  4. Step 4: Simplify right side
    3,254.99x = 7,918,596.51
  5. Step 5: Solve for x
    x = 7,918,596.51/3,254.99
  6. Step 6: Final answer
    x = 2,432.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.