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Finding the Fourth Proportional to 2,644.88, 3,646.89 and 2,145.98

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Solution

The fourth proportional to 2,644.88, 3,646.89 and 2,145.98 is: 2,958.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,644.88 : 3,646.89 = 2,145.98 : x
  2. Step 2: Convert to fraction form
    2,644.88/3,646.89 = 2,145.98/x
  3. Step 3: Cross multiply
    2,644.88x = 3,646.89 × 2,145.98
  4. Step 4: Simplify right side
    2,644.88x = 7,826,153.00
  5. Step 5: Solve for x
    x = 7,826,153.00/2,644.88
  6. Step 6: Final answer
    x = 2,958.98

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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.