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Finding the Fourth Proportional to 3,071.30, 4,238.30 and 1,674.05

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Solution

The fourth proportional to 3,071.30, 4,238.30 and 1,674.05 is: 2,310.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,071.30 : 4,238.30 = 1,674.05 : x
  2. Step 2: Convert to fraction form
    3,071.30/4,238.30 = 1,674.05/x
  3. Step 3: Cross multiply
    3,071.30x = 4,238.30 × 1,674.05
  4. Step 4: Simplify right side
    3,071.30x = 7,095,109.11
  5. Step 5: Solve for x
    x = 7,095,109.11/3,071.30
  6. Step 6: Final answer
    x = 2,310.14

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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.