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Finding the Fourth Proportional to 2,004.00, 3,005.65 and 542.81

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Solution

The fourth proportional to 2,004.00, 3,005.65 and 542.81 is: 814.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,004.00 : 3,005.65 = 542.81 : x
  2. Step 2: Convert to fraction form
    2,004.00/3,005.65 = 542.81/x
  3. Step 3: Cross multiply
    2,004.00x = 3,005.65 × 542.81
  4. Step 4: Simplify right side
    2,004.00x = 1,631,494.16
  5. Step 5: Solve for x
    x = 1,631,494.16/2,004.00
  6. Step 6: Final answer
    x = 814.12

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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.