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Finding the Fourth Proportional to 2,005.51, 3,008.26 and 524.73

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Solution

The fourth proportional to 2,005.51, 3,008.26 and 524.73 is: 787.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,005.51 : 3,008.26 = 524.73 : x
  2. Step 2: Convert to fraction form
    2,005.51/3,008.26 = 524.73/x
  3. Step 3: Cross multiply
    2,005.51x = 3,008.26 × 524.73
  4. Step 4: Simplify right side
    2,005.51x = 1,578,520.76
  5. Step 5: Solve for x
    x = 1,578,520.76/2,005.51
  6. Step 6: Final answer
    x = 787.09

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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.