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Finding the Fourth Proportional to 2,005.52, 3,008.27 and 544.67

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Solution

The fourth proportional to 2,005.52, 3,008.27 and 544.67 is: 817.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,005.52 : 3,008.27 = 544.67 : x
  2. Step 2: Convert to fraction form
    2,005.52/3,008.27 = 544.67/x
  3. Step 3: Cross multiply
    2,005.52x = 3,008.27 × 544.67
  4. Step 4: Simplify right side
    2,005.52x = 1,638,528.94
  5. Step 5: Solve for x
    x = 1,638,528.94/2,005.52
  6. Step 6: Final answer
    x = 817.01

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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.