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Finding the Fourth Proportional to 2,317.99, 3,197.75 and 2,052.70

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Solution

The fourth proportional to 2,317.99, 3,197.75 and 2,052.70 is: 2,831.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,317.99 : 3,197.75 = 2,052.70 : x
  2. Step 2: Convert to fraction form
    2,317.99/3,197.75 = 2,052.70/x
  3. Step 3: Cross multiply
    2,317.99x = 3,197.75 × 2,052.70
  4. Step 4: Simplify right side
    2,317.99x = 6,564,026.56
  5. Step 5: Solve for x
    x = 6,564,026.56/2,317.99
  6. Step 6: Final answer
    x = 2,831.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.