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Finding the Fourth Proportional to 3,091.60, 4,609.82 and 2,748.16

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Solution

The fourth proportional to 3,091.60, 4,609.82 and 2,748.16 is: 4,097.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,091.60 : 4,609.82 = 2,748.16 : x
  2. Step 2: Convert to fraction form
    3,091.60/4,609.82 = 2,748.16/x
  3. Step 3: Cross multiply
    3,091.60x = 4,609.82 × 2,748.16
  4. Step 4: Simplify right side
    3,091.60x = 12,668,486.14
  5. Step 5: Solve for x
    x = 12,668,486.14/3,091.60
  6. Step 6: Final answer
    x = 4,097.72

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.