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Finding the Fourth Proportional to 1,637, 2,466.79 and 1,482.92

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Solution

The fourth proportional to 1,637, 2,466.79 and 1,482.92 is: 2,234.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,637 : 2,466.79 = 1,482.92 : x
  2. Step 2: Convert to fraction form
    1,637/2,466.79 = 1,482.92/x
  3. Step 3: Cross multiply
    1,637x = 2,466.79 × 1,482.92
  4. Step 4: Simplify right side
    1,637x = 3,658,052.23
  5. Step 5: Solve for x
    x = 3,658,052.23/1,637
  6. Step 6: Final answer
    x = 2,234.61

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.