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Finding the Fourth Proportional to 3,197.16, 4,412.16 and 1,800

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Solution

The fourth proportional to 3,197.16, 4,412.16 and 1,800 is: 2,484.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,197.16 : 4,412.16 = 1,800 : x
  2. Step 2: Convert to fraction form
    3,197.16/4,412.16 = 1,800/x
  3. Step 3: Cross multiply
    3,197.16x = 4,412.16 × 1,800
  4. Step 4: Simplify right side
    3,197.16x = 7,941,888
  5. Step 5: Solve for x
    x = 7,941,888/3,197.16
  6. Step 6: Final answer
    x = 2,484.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.