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Finding the Fourth Proportional to 3,056.67, 4,585.14 and 1,596.24

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Solution

The fourth proportional to 3,056.67, 4,585.14 and 1,596.24 is: 2,394.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,056.67 : 4,585.14 = 1,596.24 : x
  2. Step 2: Convert to fraction form
    3,056.67/4,585.14 = 1,596.24/x
  3. Step 3: Cross multiply
    3,056.67x = 4,585.14 × 1,596.24
  4. Step 4: Simplify right side
    3,056.67x = 7,318,983.87
  5. Step 5: Solve for x
    x = 7,318,983.87/3,056.67
  6. Step 6: Final answer
    x = 2,394.43

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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.