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Finding the Fourth Proportional to 2,753.67, 4,130.65 and 2,096.58

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Solution

The fourth proportional to 2,753.67, 4,130.65 and 2,096.58 is: 3,144.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,753.67 : 4,130.65 = 2,096.58 : x
  2. Step 2: Convert to fraction form
    2,753.67/4,130.65 = 2,096.58/x
  3. Step 3: Cross multiply
    2,753.67x = 4,130.65 × 2,096.58
  4. Step 4: Simplify right side
    2,753.67x = 8,660,238.18
  5. Step 5: Solve for x
    x = 8,660,238.18/2,753.67
  6. Step 6: Final answer
    x = 3,144.98

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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.