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Finding the Fourth Proportional to 2,309.94, 3,185.94 and 1,502.58

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Solution

The fourth proportional to 2,309.94, 3,185.94 and 1,502.58 is: 2,072.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,309.94 : 3,185.94 = 1,502.58 : x
  2. Step 2: Convert to fraction form
    2,309.94/3,185.94 = 1,502.58/x
  3. Step 3: Cross multiply
    2,309.94x = 3,185.94 × 1,502.58
  4. Step 4: Simplify right side
    2,309.94x = 4,787,129.73
  5. Step 5: Solve for x
    x = 4,787,129.73/2,309.94
  6. Step 6: Final answer
    x = 2,072.40

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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.