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Finding the Fourth Proportional to 2,003.78, 3,005.64 and 542.93

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Solution

The fourth proportional to 2,003.78, 3,005.64 and 542.93 is: 814.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,003.78 : 3,005.64 = 542.93 : x
  2. Step 2: Convert to fraction form
    2,003.78/3,005.64 = 542.93/x
  3. Step 3: Cross multiply
    2,003.78x = 3,005.64 × 542.93
  4. Step 4: Simplify right side
    2,003.78x = 1,631,852.13
  5. Step 5: Solve for x
    x = 1,631,852.13/2,003.78
  6. Step 6: Final answer
    x = 814.39

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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.