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Finding the Fourth Proportional to 2,650.89, 3,658.27 and 1,455.98

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Solution

The fourth proportional to 2,650.89, 3,658.27 and 1,455.98 is: 2,009.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,650.89 : 3,658.27 = 1,455.98 : x
  2. Step 2: Convert to fraction form
    2,650.89/3,658.27 = 1,455.98/x
  3. Step 3: Cross multiply
    2,650.89x = 3,658.27 × 1,455.98
  4. Step 4: Simplify right side
    2,650.89x = 5,326,367.95
  5. Step 5: Solve for x
    x = 5,326,367.95/2,650.89
  6. Step 6: Final answer
    x = 2,009.28

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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.