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Finding the Fourth Proportional to 2,631.84, 3,628 and 2,209

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Solution

The fourth proportional to 2,631.84, 3,628 and 2,209 is: 3,045.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,631.84 : 3,628 = 2,209 : x
  2. Step 2: Convert to fraction form
    2,631.84/3,628 = 2,209/x
  3. Step 3: Cross multiply
    2,631.84x = 3,628 × 2,209
  4. Step 4: Simplify right side
    2,631.84x = 8,014,252
  5. Step 5: Solve for x
    x = 8,014,252/2,631.84
  6. Step 6: Final answer
    x = 3,045.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.