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Finding the Fourth Proportional to 3,254.99, 4,491.87 and 1,857.74

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Solution

The fourth proportional to 3,254.99, 4,491.87 and 1,857.74 is: 2,563.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,254.99 : 4,491.87 = 1,857.74 : x
  2. Step 2: Convert to fraction form
    3,254.99/4,491.87 = 1,857.74/x
  3. Step 3: Cross multiply
    3,254.99x = 4,491.87 × 1,857.74
  4. Step 4: Simplify right side
    3,254.99x = 8,344,726.57
  5. Step 5: Solve for x
    x = 8,344,726.57/3,254.99
  6. Step 6: Final answer
    x = 2,563.67

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