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Finding the Fourth Proportional to 4,111.52, 6,168.08 and 1,803

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Solution

The fourth proportional to 4,111.52, 6,168.08 and 1,803 is: 2,704.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,111.52 : 6,168.08 = 1,803 : x
  2. Step 2: Convert to fraction form
    4,111.52/6,168.08 = 1,803/x
  3. Step 3: Cross multiply
    4,111.52x = 6,168.08 × 1,803
  4. Step 4: Simplify right side
    4,111.52x = 11,121,048.24
  5. Step 5: Solve for x
    x = 11,121,048.24/4,111.52
  6. Step 6: Final answer
    x = 2,704.85

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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.