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Finding the Fourth Proportional to 2,572.85, 3,849.71 and 1,533.42

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Solution

The fourth proportional to 2,572.85, 3,849.71 and 1,533.42 is: 2,294.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,572.85 : 3,849.71 = 1,533.42 : x
  2. Step 2: Convert to fraction form
    2,572.85/3,849.71 = 1,533.42/x
  3. Step 3: Cross multiply
    2,572.85x = 3,849.71 × 1,533.42
  4. Step 4: Simplify right side
    2,572.85x = 5,903,222.31
  5. Step 5: Solve for x
    x = 5,903,222.31/2,572.85
  6. Step 6: Final answer
    x = 2,294.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.