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Finding the Fourth Proportional to 2,470.11, 3,696.45 and 2,080.50

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Solution

The fourth proportional to 2,470.11, 3,696.45 and 2,080.50 is: 3,113.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,470.11 : 3,696.45 = 2,080.50 : x
  2. Step 2: Convert to fraction form
    2,470.11/3,696.45 = 2,080.50/x
  3. Step 3: Cross multiply
    2,470.11x = 3,696.45 × 2,080.50
  4. Step 4: Simplify right side
    2,470.11x = 7,690,464.23
  5. Step 5: Solve for x
    x = 7,690,464.23/2,470.11
  6. Step 6: Final answer
    x = 3,113.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.