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Finding the Fourth Proportional to 3,146.70, 4,342.44 and 1,730.48

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Solution

The fourth proportional to 3,146.70, 4,342.44 and 1,730.48 is: 2,388.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,146.70 : 4,342.44 = 1,730.48 : x
  2. Step 2: Convert to fraction form
    3,146.70/4,342.44 = 1,730.48/x
  3. Step 3: Cross multiply
    3,146.70x = 4,342.44 × 1,730.48
  4. Step 4: Simplify right side
    3,146.70x = 7,514,505.57
  5. Step 5: Solve for x
    x = 7,514,505.57/3,146.70
  6. Step 6: Final answer
    x = 2,388.06

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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.