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Finding the Fourth Proportional to 2,737.06, 3,776.79 and 1,541.90

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Solution

The fourth proportional to 2,737.06, 3,776.79 and 1,541.90 is: 2,127.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,737.06 : 3,776.79 = 1,541.90 : x
  2. Step 2: Convert to fraction form
    2,737.06/3,776.79 = 1,541.90/x
  3. Step 3: Cross multiply
    2,737.06x = 3,776.79 × 1,541.90
  4. Step 4: Simplify right side
    2,737.06x = 5,823,432.50
  5. Step 5: Solve for x
    x = 5,823,432.50/2,737.06
  6. Step 6: Final answer
    x = 2,127.62

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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.