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Finding the Fourth Proportional to 2,470.37, 3,707.02 and 911.47

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Solution

The fourth proportional to 2,470.37, 3,707.02 and 911.47 is: 1,367.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,470.37 : 3,707.02 = 911.47 : x
  2. Step 2: Convert to fraction form
    2,470.37/3,707.02 = 911.47/x
  3. Step 3: Cross multiply
    2,470.37x = 3,707.02 × 911.47
  4. Step 4: Simplify right side
    2,470.37x = 3,378,837.52
  5. Step 5: Solve for x
    x = 3,378,837.52/2,470.37
  6. Step 6: Final answer
    x = 1,367.75

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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.