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Finding the Fourth Proportional to 2,868.84, 3,957.12 and 1,822.32

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Solution

The fourth proportional to 2,868.84, 3,957.12 and 1,822.32 is: 2,513.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,868.84 : 3,957.12 = 1,822.32 : x
  2. Step 2: Convert to fraction form
    2,868.84/3,957.12 = 1,822.32/x
  3. Step 3: Cross multiply
    2,868.84x = 3,957.12 × 1,822.32
  4. Step 4: Simplify right side
    2,868.84x = 7,211,138.92
  5. Step 5: Solve for x
    x = 7,211,138.92/2,868.84
  6. Step 6: Final answer
    x = 2,513.61

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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.