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Finding the Fourth Proportional to 2,133.64, 3,200.50 and 672.84

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Solution

The fourth proportional to 2,133.64, 3,200.50 and 672.84 is: 1,009.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,133.64 : 3,200.50 = 672.84 : x
  2. Step 2: Convert to fraction form
    2,133.64/3,200.50 = 672.84/x
  3. Step 3: Cross multiply
    2,133.64x = 3,200.50 × 672.84
  4. Step 4: Simplify right side
    2,133.64x = 2,153,424.42
  5. Step 5: Solve for x
    x = 2,153,424.42/2,133.64
  6. Step 6: Final answer
    x = 1,009.27

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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.