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Finding the Fourth Proportional to 2,548.65, 3,517.31 and 1,429.67

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Solution

The fourth proportional to 2,548.65, 3,517.31 and 1,429.67 is: 1,973.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,548.65 : 3,517.31 = 1,429.67 : x
  2. Step 2: Convert to fraction form
    2,548.65/3,517.31 = 1,429.67/x
  3. Step 3: Cross multiply
    2,548.65x = 3,517.31 × 1,429.67
  4. Step 4: Simplify right side
    2,548.65x = 5,028,567.85
  5. Step 5: Solve for x
    x = 5,028,567.85/2,548.65
  6. Step 6: Final answer
    x = 1,973.03

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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.