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Finding the Fourth Proportional to 2,133.76, 3,200.80 and 594.76

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Solution

The fourth proportional to 2,133.76, 3,200.80 and 594.76 is: 892.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,133.76 : 3,200.80 = 594.76 : x
  2. Step 2: Convert to fraction form
    2,133.76/3,200.80 = 594.76/x
  3. Step 3: Cross multiply
    2,133.76x = 3,200.80 × 594.76
  4. Step 4: Simplify right side
    2,133.76x = 1,903,707.81
  5. Step 5: Solve for x
    x = 1,903,707.81/2,133.76
  6. Step 6: Final answer
    x = 892.18

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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.