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Finding the Fourth Proportional to 2,005.41, 3,008.13 and 544.50

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Solution

The fourth proportional to 2,005.41, 3,008.13 and 544.50 is: 816.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,005.41 : 3,008.13 = 544.50 : x
  2. Step 2: Convert to fraction form
    2,005.41/3,008.13 = 544.50/x
  3. Step 3: Cross multiply
    2,005.41x = 3,008.13 × 544.50
  4. Step 4: Simplify right side
    2,005.41x = 1,637,926.79
  5. Step 5: Solve for x
    x = 1,637,926.79/2,005.41
  6. Step 6: Final answer
    x = 816.75

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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.