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Finding the Fourth Proportional to 2,309.94, 3,186.81 and 1,470.42

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Solution

The fourth proportional to 2,309.94, 3,186.81 and 1,470.42 is: 2,028.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,309.94 : 3,186.81 = 1,470.42 : x
  2. Step 2: Convert to fraction form
    2,309.94/3,186.81 = 1,470.42/x
  3. Step 3: Cross multiply
    2,309.94x = 3,186.81 × 1,470.42
  4. Step 4: Simplify right side
    2,309.94x = 4,685,949.16
  5. Step 5: Solve for x
    x = 4,685,949.16/2,309.94
  6. Step 6: Final answer
    x = 2,028.60

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