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Finding the Fourth Proportional to 2,996.88, 4,136.76 and 2,158.08

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Solution

The fourth proportional to 2,996.88, 4,136.76 and 2,158.08 is: 2,978.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,996.88 : 4,136.76 = 2,158.08 : x
  2. Step 2: Convert to fraction form
    2,996.88/4,136.76 = 2,158.08/x
  3. Step 3: Cross multiply
    2,996.88x = 4,136.76 × 2,158.08
  4. Step 4: Simplify right side
    2,996.88x = 8,927,459.02
  5. Step 5: Solve for x
    x = 8,927,459.02/2,996.88
  6. Step 6: Final answer
    x = 2,978.92

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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.