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Finding the Fourth Proportional to 2,133, 3,199.54 and 594.04

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Solution

The fourth proportional to 2,133, 3,199.54 and 594.04 is: 891.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,133 : 3,199.54 = 594.04 : x
  2. Step 2: Convert to fraction form
    2,133/3,199.54 = 594.04/x
  3. Step 3: Cross multiply
    2,133x = 3,199.54 × 594.04
  4. Step 4: Simplify right side
    2,133x = 1,900,654.74
  5. Step 5: Solve for x
    x = 1,900,654.74/2,133
  6. Step 6: Final answer
    x = 891.07

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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.