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Finding the Fourth Proportional to 2,737.34, 3,768.40 and 2,611.80

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Solution

The fourth proportional to 2,737.34, 3,768.40 and 2,611.80 is: 3,595.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,737.34 : 3,768.40 = 2,611.80 : x
  2. Step 2: Convert to fraction form
    2,737.34/3,768.40 = 2,611.80/x
  3. Step 3: Cross multiply
    2,737.34x = 3,768.40 × 2,611.80
  4. Step 4: Simplify right side
    2,737.34x = 9,842,294.06
  5. Step 5: Solve for x
    x = 9,842,294.06/2,737.34
  6. Step 6: Final answer
    x = 3,595.58

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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.