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Finding the Fourth Proportional to 2,470.81, 3,391.56 and 2,184.78

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Solution

The fourth proportional to 2,470.81, 3,391.56 and 2,184.78 is: 2,998.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,470.81 : 3,391.56 = 2,184.78 : x
  2. Step 2: Convert to fraction form
    2,470.81/3,391.56 = 2,184.78/x
  3. Step 3: Cross multiply
    2,470.81x = 3,391.56 × 2,184.78
  4. Step 4: Simplify right side
    2,470.81x = 7,409,812.46
  5. Step 5: Solve for x
    x = 7,409,812.46/2,470.81
  6. Step 6: Final answer
    x = 2,998.94

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.