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Finding the Fourth Proportional to 2,363.86, 3,260.28 and 2,052.82

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Solution

The fourth proportional to 2,363.86, 3,260.28 and 2,052.82 is: 2,831.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,363.86 : 3,260.28 = 2,052.82 : x
  2. Step 2: Convert to fraction form
    2,363.86/3,260.28 = 2,052.82/x
  3. Step 3: Cross multiply
    2,363.86x = 3,260.28 × 2,052.82
  4. Step 4: Simplify right side
    2,363.86x = 6,692,767.99
  5. Step 5: Solve for x
    x = 6,692,767.99/2,363.86
  6. Step 6: Final answer
    x = 2,831.29

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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.