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Finding the Fourth Proportional to 3,005.34, 4,146.66 and 1,826.34

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Solution

The fourth proportional to 3,005.34, 4,146.66 and 1,826.34 is: 2,519.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,005.34 : 4,146.66 = 1,826.34 : x
  2. Step 2: Convert to fraction form
    3,005.34/4,146.66 = 1,826.34/x
  3. Step 3: Cross multiply
    3,005.34x = 4,146.66 × 1,826.34
  4. Step 4: Simplify right side
    3,005.34x = 7,573,211.02
  5. Step 5: Solve for x
    x = 7,573,211.02/3,005.34
  6. Step 6: Final answer
    x = 2,519.92

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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.