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Finding the Fourth Proportional to 2,411.67, 3,611.93 and 2,056.42

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Solution

The fourth proportional to 2,411.67, 3,611.93 and 2,056.42 is: 3,079.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,411.67 : 3,611.93 = 2,056.42 : x
  2. Step 2: Convert to fraction form
    2,411.67/3,611.93 = 2,056.42/x
  3. Step 3: Cross multiply
    2,411.67x = 3,611.93 × 2,056.42
  4. Step 4: Simplify right side
    2,411.67x = 7,427,639.32
  5. Step 5: Solve for x
    x = 7,427,639.32/2,411.67
  6. Step 6: Final answer
    x = 3,079.87

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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.