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Finding the Fourth Proportional to 4,617.60, 6,924.20 and 1,693.84

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Solution

The fourth proportional to 4,617.60, 6,924.20 and 1,693.84 is: 2,539.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,617.60 : 6,924.20 = 1,693.84 : x
  2. Step 2: Convert to fraction form
    4,617.60/6,924.20 = 1,693.84/x
  3. Step 3: Cross multiply
    4,617.60x = 6,924.20 × 1,693.84
  4. Step 4: Simplify right side
    4,617.60x = 11,728,486.93
  5. Step 5: Solve for x
    x = 11,728,486.93/4,617.60
  6. Step 6: Final answer
    x = 2,539.95

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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.