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Finding the Fourth Proportional to 1,835.98, 2,753.97 and 537.45

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Solution

The fourth proportional to 1,835.98, 2,753.97 and 537.45 is: 806.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,835.98 : 2,753.97 = 537.45 : x
  2. Step 2: Convert to fraction form
    1,835.98/2,753.97 = 537.45/x
  3. Step 3: Cross multiply
    1,835.98x = 2,753.97 × 537.45
  4. Step 4: Simplify right side
    1,835.98x = 1,480,108.83
  5. Step 5: Solve for x
    x = 1,480,108.83/1,835.98
  6. Step 6: Final answer
    x = 806.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.