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Finding the Fourth Proportional to 2,650.89, 3,655.68 and 1,588.47

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Solution

The fourth proportional to 2,650.89, 3,655.68 and 1,588.47 is: 2,190.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,650.89 : 3,655.68 = 1,588.47 : x
  2. Step 2: Convert to fraction form
    2,650.89/3,655.68 = 1,588.47/x
  3. Step 3: Cross multiply
    2,650.89x = 3,655.68 × 1,588.47
  4. Step 4: Simplify right side
    2,650.89x = 5,806,938.01
  5. Step 5: Solve for x
    x = 5,806,938.01/2,650.89
  6. Step 6: Final answer
    x = 2,190.56

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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.