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Finding the Fourth Proportional to 2,548.59, 3,516.99 and 1,429.50

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Solution

The fourth proportional to 2,548.59, 3,516.99 and 1,429.50 is: 1,972.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,548.59 : 3,516.99 = 1,429.50 : x
  2. Step 2: Convert to fraction form
    2,548.59/3,516.99 = 1,429.50/x
  3. Step 3: Cross multiply
    2,548.59x = 3,516.99 × 1,429.50
  4. Step 4: Simplify right side
    2,548.59x = 5,027,528.41
  5. Step 5: Solve for x
    x = 5,027,528.41/2,548.59
  6. Step 6: Final answer
    x = 1,972.67

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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.