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Finding the Fourth Proportional to 2,821.85, 3,894.06 and 1,562.85

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Solution

The fourth proportional to 2,821.85, 3,894.06 and 1,562.85 is: 2,156.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,821.85 : 3,894.06 = 1,562.85 : x
  2. Step 2: Convert to fraction form
    2,821.85/3,894.06 = 1,562.85/x
  3. Step 3: Cross multiply
    2,821.85x = 3,894.06 × 1,562.85
  4. Step 4: Simplify right side
    2,821.85x = 6,085,831.67
  5. Step 5: Solve for x
    x = 6,085,831.67/2,821.85
  6. Step 6: Final answer
    x = 2,156.69

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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.