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Finding the Fourth Proportional to 2,340.30, 3,495.26 and 2,120.49

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Solution

The fourth proportional to 2,340.30, 3,495.26 and 2,120.49 is: 3,166.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,340.30 : 3,495.26 = 2,120.49 : x
  2. Step 2: Convert to fraction form
    2,340.30/3,495.26 = 2,120.49/x
  3. Step 3: Cross multiply
    2,340.30x = 3,495.26 × 2,120.49
  4. Step 4: Simplify right side
    2,340.30x = 7,411,669.18
  5. Step 5: Solve for x
    x = 7,411,669.18/2,340.30
  6. Step 6: Final answer
    x = 3,166.97

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.