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Finding the Fourth Proportional to 1,550.34, 2,340.09 and 1,550.34

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Solution

The fourth proportional to 1,550.34, 2,340.09 and 1,550.34 is: 2,340.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,550.34 : 2,340.09 = 1,550.34 : x
  2. Step 2: Convert to fraction form
    1,550.34/2,340.09 = 1,550.34/x
  3. Step 3: Cross multiply
    1,550.34x = 2,340.09 × 1,550.34
  4. Step 4: Simplify right side
    1,550.34x = 3,627,935.13
  5. Step 5: Solve for x
    x = 3,627,935.13/1,550.34
  6. Step 6: Final answer
    x = 2,340.09

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.