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Finding the Fourth Proportional to 2,362.45, 3,261.88 and 1,655.86

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Solution

The fourth proportional to 2,362.45, 3,261.88 and 1,655.86 is: 2,286.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,362.45 : 3,261.88 = 1,655.86 : x
  2. Step 2: Convert to fraction form
    2,362.45/3,261.88 = 1,655.86/x
  3. Step 3: Cross multiply
    2,362.45x = 3,261.88 × 1,655.86
  4. Step 4: Simplify right side
    2,362.45x = 5,401,216.62
  5. Step 5: Solve for x
    x = 5,401,216.62/2,362.45
  6. Step 6: Final answer
    x = 2,286.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.