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Finding the Fourth Proportional to 2,502.39, 3,450.69 and 2,149.50

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Solution

The fourth proportional to 2,502.39, 3,450.69 and 2,149.50 is: 2,964.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,502.39 : 3,450.69 = 2,149.50 : x
  2. Step 2: Convert to fraction form
    2,502.39/3,450.69 = 2,149.50/x
  3. Step 3: Cross multiply
    2,502.39x = 3,450.69 × 2,149.50
  4. Step 4: Simplify right side
    2,502.39x = 7,417,258.16
  5. Step 5: Solve for x
    x = 7,417,258.16/2,502.39
  6. Step 6: Final answer
    x = 2,964.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.