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Finding the Fourth Proportional to 2,005.13, 3,007.70 and 544.29

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Solution

The fourth proportional to 2,005.13, 3,007.70 and 544.29 is: 816.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,005.13 : 3,007.70 = 544.29 : x
  2. Step 2: Convert to fraction form
    2,005.13/3,007.70 = 544.29/x
  3. Step 3: Cross multiply
    2,005.13x = 3,007.70 × 544.29
  4. Step 4: Simplify right side
    2,005.13x = 1,637,061.03
  5. Step 5: Solve for x
    x = 1,637,061.03/2,005.13
  6. Step 6: Final answer
    x = 816.44

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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.