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Finding the Fourth Proportional to 2,699.68, 4,050.28 and 2,442.64

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Solution

The fourth proportional to 2,699.68, 4,050.28 and 2,442.64 is: 3,664.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,699.68 : 4,050.28 = 2,442.64 : x
  2. Step 2: Convert to fraction form
    2,699.68/4,050.28 = 2,442.64/x
  3. Step 3: Cross multiply
    2,699.68x = 4,050.28 × 2,442.64
  4. Step 4: Simplify right side
    2,699.68x = 9,893,375.94
  5. Step 5: Solve for x
    x = 9,893,375.94/2,699.68
  6. Step 6: Final answer
    x = 3,664.65

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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.