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Finding the Fourth Proportional to 2,898.63, 4,342.07 and 2,314.62

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Solution

The fourth proportional to 2,898.63, 4,342.07 and 2,314.62 is: 3,467.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,898.63 : 4,342.07 = 2,314.62 : x
  2. Step 2: Convert to fraction form
    2,898.63/4,342.07 = 2,314.62/x
  3. Step 3: Cross multiply
    2,898.63x = 4,342.07 × 2,314.62
  4. Step 4: Simplify right side
    2,898.63x = 10,050,247.85
  5. Step 5: Solve for x
    x = 10,050,247.85/2,898.63
  6. Step 6: Final answer
    x = 3,467.24

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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.