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Finding the Fourth Proportional to 2,154.70, 3,232.05 and 594.70

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Solution

The fourth proportional to 2,154.70, 3,232.05 and 594.70 is: 892.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,154.70 : 3,232.05 = 594.70 : x
  2. Step 2: Convert to fraction form
    2,154.70/3,232.05 = 594.70/x
  3. Step 3: Cross multiply
    2,154.70x = 3,232.05 × 594.70
  4. Step 4: Simplify right side
    2,154.70x = 1,922,100.14
  5. Step 5: Solve for x
    x = 1,922,100.14/2,154.70
  6. Step 6: Final answer
    x = 892.05

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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.