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Finding the Fourth Proportional to 2,472.84, 3,411.36 and 1,424.29

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Solution

The fourth proportional to 2,472.84, 3,411.36 and 1,424.29 is: 1,964.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,472.84 : 3,411.36 = 1,424.29 : x
  2. Step 2: Convert to fraction form
    2,472.84/3,411.36 = 1,424.29/x
  3. Step 3: Cross multiply
    2,472.84x = 3,411.36 × 1,424.29
  4. Step 4: Simplify right side
    2,472.84x = 4,858,765.93
  5. Step 5: Solve for x
    x = 4,858,765.93/2,472.84
  6. Step 6: Final answer
    x = 1,964.85

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1.5x scale

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.