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Finding the Fourth Proportional to 2,703.80, 4,056.54 and 1,242.98

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Solution

The fourth proportional to 2,703.80, 4,056.54 and 1,242.98 is: 1,864.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,703.80 : 4,056.54 = 1,242.98 : x
  2. Step 2: Convert to fraction form
    2,703.80/4,056.54 = 1,242.98/x
  3. Step 3: Cross multiply
    2,703.80x = 4,056.54 × 1,242.98
  4. Step 4: Simplify right side
    2,703.80x = 5,042,198.09
  5. Step 5: Solve for x
    x = 5,042,198.09/2,703.80
  6. Step 6: Final answer
    x = 1,864.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.