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Finding the Fourth Proportional to 2,349.62, 3,521.46 and 2,056.42

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Solution

The fourth proportional to 2,349.62, 3,521.46 and 2,056.42 is: 3,082.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,349.62 : 3,521.46 = 2,056.42 : x
  2. Step 2: Convert to fraction form
    2,349.62/3,521.46 = 2,056.42/x
  3. Step 3: Cross multiply
    2,349.62x = 3,521.46 × 2,056.42
  4. Step 4: Simplify right side
    2,349.62x = 7,241,600.77
  5. Step 5: Solve for x
    x = 7,241,600.77/2,349.62
  6. Step 6: Final answer
    x = 3,082.03

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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.