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Finding the Fourth Proportional to 2,142.72, 2,953.98 and 2,096.15

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Solution

The fourth proportional to 2,142.72, 2,953.98 and 2,096.15 is: 2,889.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,142.72 : 2,953.98 = 2,096.15 : x
  2. Step 2: Convert to fraction form
    2,142.72/2,953.98 = 2,096.15/x
  3. Step 3: Cross multiply
    2,142.72x = 2,953.98 × 2,096.15
  4. Step 4: Simplify right side
    2,142.72x = 6,191,970.41
  5. Step 5: Solve for x
    x = 6,191,970.41/2,142.72
  6. Step 6: Final answer
    x = 2,889.77

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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.