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Finding the Fourth Proportional to 3,178.62, 4,764.53 and 1,203.32

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Solution

The fourth proportional to 3,178.62, 4,764.53 and 1,203.32 is: 1,803.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,178.62 : 4,764.53 = 1,203.32 : x
  2. Step 2: Convert to fraction form
    3,178.62/4,764.53 = 1,203.32/x
  3. Step 3: Cross multiply
    3,178.62x = 4,764.53 × 1,203.32
  4. Step 4: Simplify right side
    3,178.62x = 5,733,254.24
  5. Step 5: Solve for x
    x = 5,733,254.24/3,178.62
  6. Step 6: Final answer
    x = 1,803.69

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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.