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Finding the Fourth Proportional to 2,156.69, 3,235.06 and 596.68

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Solution

The fourth proportional to 2,156.69, 3,235.06 and 596.68 is: 895.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,156.69 : 3,235.06 = 596.68 : x
  2. Step 2: Convert to fraction form
    2,156.69/3,235.06 = 596.68/x
  3. Step 3: Cross multiply
    2,156.69x = 3,235.06 × 596.68
  4. Step 4: Simplify right side
    2,156.69x = 1,930,288.26
  5. Step 5: Solve for x
    x = 1,930,288.26/2,156.69
  6. Step 6: Final answer
    x = 895.02

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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.