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Finding the Fourth Proportional to 2,796.39, 4,188.02 and 1,642.95

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Solution

The fourth proportional to 2,796.39, 4,188.02 and 1,642.95 is: 2,460.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,796.39 : 4,188.02 = 1,642.95 : x
  2. Step 2: Convert to fraction form
    2,796.39/4,188.02 = 1,642.95/x
  3. Step 3: Cross multiply
    2,796.39x = 4,188.02 × 1,642.95
  4. Step 4: Simplify right side
    2,796.39x = 6,880,699.24
  5. Step 5: Solve for x
    x = 6,880,699.24/2,796.39
  6. Step 6: Final answer
    x = 2,460.56

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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.