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Finding the Fourth Proportional to 2,516.02, 3,774.02 and 2,142.35

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Solution

The fourth proportional to 2,516.02, 3,774.02 and 2,142.35 is: 3,213.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,516.02 : 3,774.02 = 2,142.35 : x
  2. Step 2: Convert to fraction form
    2,516.02/3,774.02 = 2,142.35/x
  3. Step 3: Cross multiply
    2,516.02x = 3,774.02 × 2,142.35
  4. Step 4: Simplify right side
    2,516.02x = 8,085,252.88
  5. Step 5: Solve for x
    x = 8,085,252.88/2,516.02
  6. Step 6: Final answer
    x = 3,213.52

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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.