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Finding the Fourth Proportional to 2,737.55, 4,109.24 and 1,178.32

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Solution

The fourth proportional to 2,737.55, 4,109.24 and 1,178.32 is: 1,768.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,737.55 : 4,109.24 = 1,178.32 : x
  2. Step 2: Convert to fraction form
    2,737.55/4,109.24 = 1,178.32/x
  3. Step 3: Cross multiply
    2,737.55x = 4,109.24 × 1,178.32
  4. Step 4: Simplify right side
    2,737.55x = 4,842,013.27
  5. Step 5: Solve for x
    x = 4,842,013.27/2,737.55
  6. Step 6: Final answer
    x = 1,768.74

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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.