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Finding the Fourth Proportional to 1,835.85, 2,754.05 and 665.94

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Solution

The fourth proportional to 1,835.85, 2,754.05 and 665.94 is: 999.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,835.85 : 2,754.05 = 665.94 : x
  2. Step 2: Convert to fraction form
    1,835.85/2,754.05 = 665.94/x
  3. Step 3: Cross multiply
    1,835.85x = 2,754.05 × 665.94
  4. Step 4: Simplify right side
    1,835.85x = 1,834,032.06
  5. Step 5: Solve for x
    x = 1,834,032.06/1,835.85
  6. Step 6: Final answer
    x = 999.01

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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.