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Finding the Fourth Proportional to 2,005.40, 3,007.62 and 544.56

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Solution

The fourth proportional to 2,005.40, 3,007.62 and 544.56 is: 816.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,005.40 : 3,007.62 = 544.56 : x
  2. Step 2: Convert to fraction form
    2,005.40/3,007.62 = 544.56/x
  3. Step 3: Cross multiply
    2,005.40x = 3,007.62 × 544.56
  4. Step 4: Simplify right side
    2,005.40x = 1,637,829.55
  5. Step 5: Solve for x
    x = 1,637,829.55/2,005.40
  6. Step 6: Final answer
    x = 816.71

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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.