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Finding the Fourth Proportional to 1,682.06, 2,520.28 and 848.02

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Solution

The fourth proportional to 1,682.06, 2,520.28 and 848.02 is: 1,270.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,682.06 : 2,520.28 = 848.02 : x
  2. Step 2: Convert to fraction form
    1,682.06/2,520.28 = 848.02/x
  3. Step 3: Cross multiply
    1,682.06x = 2,520.28 × 848.02
  4. Step 4: Simplify right side
    1,682.06x = 2,137,247.85
  5. Step 5: Solve for x
    x = 2,137,247.85/1,682.06
  6. Step 6: Final answer
    x = 1,270.61

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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.