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Finding the Fourth Proportional to 2,342.96, 3,231.60 and 1,545.36

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Solution

The fourth proportional to 2,342.96, 3,231.60 and 1,545.36 is: 2,131.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,342.96 : 3,231.60 = 1,545.36 : x
  2. Step 2: Convert to fraction form
    2,342.96/3,231.60 = 1,545.36/x
  3. Step 3: Cross multiply
    2,342.96x = 3,231.60 × 1,545.36
  4. Step 4: Simplify right side
    2,342.96x = 4,993,985.38
  5. Step 5: Solve for x
    x = 4,993,985.38/2,342.96
  6. Step 6: Final answer
    x = 2,131.49

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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.