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Finding the Fourth Proportional to 2,003.84, 3,005.76 and 542.95

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Solution

The fourth proportional to 2,003.84, 3,005.76 and 542.95 is: 814.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,003.84 : 3,005.76 = 542.95 : x
  2. Step 2: Convert to fraction form
    2,003.84/3,005.76 = 542.95/x
  3. Step 3: Cross multiply
    2,003.84x = 3,005.76 × 542.95
  4. Step 4: Simplify right side
    2,003.84x = 1,631,985.77
  5. Step 5: Solve for x
    x = 1,631,985.77/2,003.84
  6. Step 6: Final answer
    x = 814.43

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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.