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Finding the Fourth Proportional to 2,317.80, 3,197.49 and 2,052.51

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Solution

The fourth proportional to 2,317.80, 3,197.49 and 2,052.51 is: 2,831.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,317.80 : 3,197.49 = 2,052.51 : x
  2. Step 2: Convert to fraction form
    2,317.80/3,197.49 = 2,052.51/x
  3. Step 3: Cross multiply
    2,317.80x = 3,197.49 × 2,052.51
  4. Step 4: Simplify right side
    2,317.80x = 6,562,893.89
  5. Step 5: Solve for x
    x = 6,562,893.89/2,317.80
  6. Step 6: Final answer
    x = 2,831.52

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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.