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Finding the Fourth Proportional to 2,470.30, 3,698.17 and 1,297.51

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Solution

The fourth proportional to 2,470.30, 3,698.17 and 1,297.51 is: 1,942.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,470.30 : 3,698.17 = 1,297.51 : x
  2. Step 2: Convert to fraction form
    2,470.30/3,698.17 = 1,297.51/x
  3. Step 3: Cross multiply
    2,470.30x = 3,698.17 × 1,297.51
  4. Step 4: Simplify right side
    2,470.30x = 4,798,412.56
  5. Step 5: Solve for x
    x = 4,798,412.56/2,470.30
  6. Step 6: Final answer
    x = 1,942.44

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