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Finding the Fourth Proportional to 2,699.60, 4,052.88 and 2,083.76

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Solution

The fourth proportional to 2,699.60, 4,052.88 and 2,083.76 is: 3,128.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,699.60 : 4,052.88 = 2,083.76 : x
  2. Step 2: Convert to fraction form
    2,699.60/4,052.88 = 2,083.76/x
  3. Step 3: Cross multiply
    2,699.60x = 4,052.88 × 2,083.76
  4. Step 4: Simplify right side
    2,699.60x = 8,445,229.23
  5. Step 5: Solve for x
    x = 8,445,229.23/2,699.60
  6. Step 6: Final answer
    x = 3,128.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.