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Finding the Fourth Proportional to 3,146.72, 4,723.25 and 1,298.93

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Solution

The fourth proportional to 3,146.72, 4,723.25 and 1,298.93 is: 1,949.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,146.72 : 4,723.25 = 1,298.93 : x
  2. Step 2: Convert to fraction form
    3,146.72/4,723.25 = 1,298.93/x
  3. Step 3: Cross multiply
    3,146.72x = 4,723.25 × 1,298.93
  4. Step 4: Simplify right side
    3,146.72x = 6,135,141.01
  5. Step 5: Solve for x
    x = 6,135,141.01/3,146.72
  6. Step 6: Final answer
    x = 1,949.70

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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.