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Finding the Fourth Proportional to 2,666.12, 3,679.80 and 1,828.52

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Solution

The fourth proportional to 2,666.12, 3,679.80 and 1,828.52 is: 2,523.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,666.12 : 3,679.80 = 1,828.52 : x
  2. Step 2: Convert to fraction form
    2,666.12/3,679.80 = 1,828.52/x
  3. Step 3: Cross multiply
    2,666.12x = 3,679.80 × 1,828.52
  4. Step 4: Simplify right side
    2,666.12x = 6,728,587.90
  5. Step 5: Solve for x
    x = 6,728,587.90/2,666.12
  6. Step 6: Final answer
    x = 2,523.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.