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Finding the Fourth Proportional to 2,753.80, 4,106.81 and 2,345.56

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Solution

The fourth proportional to 2,753.80, 4,106.81 and 2,345.56 is: 3,497.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,753.80 : 4,106.81 = 2,345.56 : x
  2. Step 2: Convert to fraction form
    2,753.80/4,106.81 = 2,345.56/x
  3. Step 3: Cross multiply
    2,753.80x = 4,106.81 × 2,345.56
  4. Step 4: Simplify right side
    2,753.80x = 9,632,769.26
  5. Step 5: Solve for x
    x = 9,632,769.26/2,753.80
  6. Step 6: Final answer
    x = 3,497.99

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.