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Finding the Fourth Proportional to 2,156.09, 3,233.70 and 595.70

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Solution

The fourth proportional to 2,156.09, 3,233.70 and 595.70 is: 893.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,156.09 : 3,233.70 = 595.70 : x
  2. Step 2: Convert to fraction form
    2,156.09/3,233.70 = 595.70/x
  3. Step 3: Cross multiply
    2,156.09x = 3,233.70 × 595.70
  4. Step 4: Simplify right side
    2,156.09x = 1,926,315.09
  5. Step 5: Solve for x
    x = 1,926,315.09/2,156.09
  6. Step 6: Final answer
    x = 893.43

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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.