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Finding the Fourth Proportional to 3,005.17, 4,146.93 and 1,679.01

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Solution

The fourth proportional to 3,005.17, 4,146.93 and 1,679.01 is: 2,316.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,005.17 : 4,146.93 = 1,679.01 : x
  2. Step 2: Convert to fraction form
    3,005.17/4,146.93 = 1,679.01/x
  3. Step 3: Cross multiply
    3,005.17x = 4,146.93 × 1,679.01
  4. Step 4: Simplify right side
    3,005.17x = 6,962,736.94
  5. Step 5: Solve for x
    x = 6,962,736.94/3,005.17
  6. Step 6: Final answer
    x = 2,316.92

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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.