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Finding the Fourth Proportional to 2,184, 3,276.64 and 645.04

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Solution

The fourth proportional to 2,184, 3,276.64 and 645.04 is: 967.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,184 : 3,276.64 = 645.04 : x
  2. Step 2: Convert to fraction form
    2,184/3,276.64 = 645.04/x
  3. Step 3: Cross multiply
    2,184x = 3,276.64 × 645.04
  4. Step 4: Simplify right side
    2,184x = 2,113,563.87
  5. Step 5: Solve for x
    x = 2,113,563.87/2,184
  6. Step 6: Final answer
    x = 967.75

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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.