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Finding the Fourth Proportional to 2,438.84, 3,366.24 and 2,045.24

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Solution

The fourth proportional to 2,438.84, 3,366.24 and 2,045.24 is: 2,822.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,438.84 : 3,366.24 = 2,045.24 : x
  2. Step 2: Convert to fraction form
    2,438.84/3,366.24 = 2,045.24/x
  3. Step 3: Cross multiply
    2,438.84x = 3,366.24 × 2,045.24
  4. Step 4: Simplify right side
    2,438.84x = 6,884,768.70
  5. Step 5: Solve for x
    x = 6,884,768.70/2,438.84
  6. Step 6: Final answer
    x = 2,822.97

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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.