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Finding the Fourth Proportional to 2,327.25, 3,490.88 and 595.89

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Solution

The fourth proportional to 2,327.25, 3,490.88 and 595.89 is: 893.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,327.25 : 3,490.88 = 595.89 : x
  2. Step 2: Convert to fraction form
    2,327.25/3,490.88 = 595.89/x
  3. Step 3: Cross multiply
    2,327.25x = 3,490.88 × 595.89
  4. Step 4: Simplify right side
    2,327.25x = 2,080,180.48
  5. Step 5: Solve for x
    x = 2,080,180.48/2,327.25
  6. Step 6: Final answer
    x = 893.84

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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.