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Finding the Fourth Proportional to 3,071.40, 4,238.04 and 1,726.74

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Solution

The fourth proportional to 3,071.40, 4,238.04 and 1,726.74 is: 2,382.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,071.40 : 4,238.04 = 1,726.74 : x
  2. Step 2: Convert to fraction form
    3,071.40/4,238.04 = 1,726.74/x
  3. Step 3: Cross multiply
    3,071.40x = 4,238.04 × 1,726.74
  4. Step 4: Simplify right side
    3,071.40x = 7,317,993.19
  5. Step 5: Solve for x
    x = 7,317,993.19/3,071.40
  6. Step 6: Final answer
    x = 2,382.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.