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Finding the Fourth Proportional to 2,326.92, 3,490.44 and 1,095.48

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Solution

The fourth proportional to 2,326.92, 3,490.44 and 1,095.48 is: 1,643.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,326.92 : 3,490.44 = 1,095.48 : x
  2. Step 2: Convert to fraction form
    2,326.92/3,490.44 = 1,095.48/x
  3. Step 3: Cross multiply
    2,326.92x = 3,490.44 × 1,095.48
  4. Step 4: Simplify right side
    2,326.92x = 3,823,707.21
  5. Step 5: Solve for x
    x = 3,823,707.21/2,326.92
  6. Step 6: Final answer
    x = 1,643.25

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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.