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Finding the Fourth Proportional to 2,470.38, 3,405.08 and 2,052.23

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Solution

The fourth proportional to 2,470.38, 3,405.08 and 2,052.23 is: 2,828.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,470.38 : 3,405.08 = 2,052.23 : x
  2. Step 2: Convert to fraction form
    2,470.38/3,405.08 = 2,052.23/x
  3. Step 3: Cross multiply
    2,470.38x = 3,405.08 × 2,052.23
  4. Step 4: Simplify right side
    2,470.38x = 6,987,980.04
  5. Step 5: Solve for x
    x = 6,987,980.04/2,470.38
  6. Step 6: Final answer
    x = 2,828.71

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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.