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Finding the Fourth Proportional to 2,902.17, 4,352.14 and 1,342.99

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Solution

The fourth proportional to 2,902.17, 4,352.14 and 1,342.99 is: 2,013.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,902.17 : 4,352.14 = 1,342.99 : x
  2. Step 2: Convert to fraction form
    2,902.17/4,352.14 = 1,342.99/x
  3. Step 3: Cross multiply
    2,902.17x = 4,352.14 × 1,342.99
  4. Step 4: Simplify right side
    2,902.17x = 5,844,880.50
  5. Step 5: Solve for x
    x = 5,844,880.50/2,902.17
  6. Step 6: Final answer
    x = 2,013.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.