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Finding the Fourth Proportional to 2,009.89, 2,774.88 and 1,591.93

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Solution

The fourth proportional to 2,009.89, 2,774.88 and 1,591.93 is: 2,197.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,009.89 : 2,774.88 = 1,591.93 : x
  2. Step 2: Convert to fraction form
    2,009.89/2,774.88 = 1,591.93/x
  3. Step 3: Cross multiply
    2,009.89x = 2,774.88 × 1,591.93
  4. Step 4: Simplify right side
    2,009.89x = 4,417,414.72
  5. Step 5: Solve for x
    x = 4,417,414.72/2,009.89
  6. Step 6: Final answer
    x = 2,197.84

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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.