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Finding the Fourth Proportional to 2,773.88, 4,160.87 and 1,549.09

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Solution

The fourth proportional to 2,773.88, 4,160.87 and 1,549.09 is: 2,323.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,773.88 : 4,160.87 = 1,549.09 : x
  2. Step 2: Convert to fraction form
    2,773.88/4,160.87 = 1,549.09/x
  3. Step 3: Cross multiply
    2,773.88x = 4,160.87 × 1,549.09
  4. Step 4: Simplify right side
    2,773.88x = 6,445,565.37
  5. Step 5: Solve for x
    x = 6,445,565.37/2,773.88
  6. Step 6: Final answer
    x = 2,323.67

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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.