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Finding the Fourth Proportional to 2,470.25, 3,707.20 and 1,171.72

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Solution

The fourth proportional to 2,470.25, 3,707.20 and 1,171.72 is: 1,758.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,470.25 : 3,707.20 = 1,171.72 : x
  2. Step 2: Convert to fraction form
    2,470.25/3,707.20 = 1,171.72/x
  3. Step 3: Cross multiply
    2,470.25x = 3,707.20 × 1,171.72
  4. Step 4: Simplify right side
    2,470.25x = 4,343,794.53
  5. Step 5: Solve for x
    x = 4,343,794.53/2,470.25
  6. Step 6: Final answer
    x = 1,758.44

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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.