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Finding the Fourth Proportional to 2,076.22, 3,114.35 and 595.62

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Solution

The fourth proportional to 2,076.22, 3,114.35 and 595.62 is: 893.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,076.22 : 3,114.35 = 595.62 : x
  2. Step 2: Convert to fraction form
    2,076.22/3,114.35 = 595.62/x
  3. Step 3: Cross multiply
    2,076.22x = 3,114.35 × 595.62
  4. Step 4: Simplify right side
    2,076.22x = 1,854,953.58
  5. Step 5: Solve for x
    x = 1,854,953.58/2,076.22
  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.