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Finding the Fourth Proportional to 2,441.55, 3,662.31 and 592.66

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Solution

The fourth proportional to 2,441.55, 3,662.31 and 592.66 is: 888.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,441.55 : 3,662.31 = 592.66 : x
  2. Step 2: Convert to fraction form
    2,441.55/3,662.31 = 592.66/x
  3. Step 3: Cross multiply
    2,441.55x = 3,662.31 × 592.66
  4. Step 4: Simplify right side
    2,441.55x = 2,170,486.33
  5. Step 5: Solve for x
    x = 2,170,486.33/2,441.55
  6. Step 6: Final answer
    x = 888.98

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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.