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Finding the Fourth Proportional to 2,470.51, 3,706.22 and 1,171.97

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Solution

The fourth proportional to 2,470.51, 3,706.22 and 1,171.97 is: 1,758.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,470.51 : 3,706.22 = 1,171.97 : x
  2. Step 2: Convert to fraction form
    2,470.51/3,706.22 = 1,171.97/x
  3. Step 3: Cross multiply
    2,470.51x = 3,706.22 × 1,171.97
  4. Step 4: Simplify right side
    2,470.51x = 4,343,570.36
  5. Step 5: Solve for x
    x = 4,343,570.36/2,470.51
  6. Step 6: Final answer
    x = 1,758.17

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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.