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Finding the Fourth Proportional to 3,012.67, 4,156.88 and 1,686.11

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Solution

The fourth proportional to 3,012.67, 4,156.88 and 1,686.11 is: 2,326.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,012.67 : 4,156.88 = 1,686.11 : x
  2. Step 2: Convert to fraction form
    3,012.67/4,156.88 = 1,686.11/x
  3. Step 3: Cross multiply
    3,012.67x = 4,156.88 × 1,686.11
  4. Step 4: Simplify right side
    3,012.67x = 7,008,971.54
  5. Step 5: Solve for x
    x = 7,008,971.54/3,012.67
  6. Step 6: Final answer
    x = 2,326.50

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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.