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Finding the Fourth Proportional to 2,703.50, 4,055.51 and 1,243.06

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Solution

The fourth proportional to 2,703.50, 4,055.51 and 1,243.06 is: 1,864.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,703.50 : 4,055.51 = 1,243.06 : x
  2. Step 2: Convert to fraction form
    2,703.50/4,055.51 = 1,243.06/x
  3. Step 3: Cross multiply
    2,703.50x = 4,055.51 × 1,243.06
  4. Step 4: Simplify right side
    2,703.50x = 5,041,242.26
  5. Step 5: Solve for x
    x = 5,041,242.26/2,703.50
  6. Step 6: Final answer
    x = 1,864.71

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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.