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Finding the Fourth Proportional to 2,154.77, 3,232.23 and 594.89

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Solution

The fourth proportional to 2,154.77, 3,232.23 and 594.89 is: 892.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,154.77 : 3,232.23 = 594.89 : x
  2. Step 2: Convert to fraction form
    2,154.77/3,232.23 = 594.89/x
  3. Step 3: Cross multiply
    2,154.77x = 3,232.23 × 594.89
  4. Step 4: Simplify right side
    2,154.77x = 1,922,818.33
  5. Step 5: Solve for x
    x = 1,922,818.33/2,154.77
  6. Step 6: Final answer
    x = 892.35

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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.