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Finding the Fourth Proportional to 2,868.84, 4,304.52 and 2,225.16

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Solution

The fourth proportional to 2,868.84, 4,304.52 and 2,225.16 is: 3,338.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,868.84 : 4,304.52 = 2,225.16 : x
  2. Step 2: Convert to fraction form
    2,868.84/4,304.52 = 2,225.16/x
  3. Step 3: Cross multiply
    2,868.84x = 4,304.52 × 2,225.16
  4. Step 4: Simplify right side
    2,868.84x = 9,578,245.72
  5. Step 5: Solve for x
    x = 9,578,245.72/2,868.84
  6. Step 6: Final answer
    x = 3,338.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.