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Finding the Fourth Proportional to 2,328.94, 3,490.22 and 1,287.38

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Solution

The fourth proportional to 2,328.94, 3,490.22 and 1,287.38 is: 1,929.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,328.94 : 3,490.22 = 1,287.38 : x
  2. Step 2: Convert to fraction form
    2,328.94/3,490.22 = 1,287.38/x
  3. Step 3: Cross multiply
    2,328.94x = 3,490.22 × 1,287.38
  4. Step 4: Simplify right side
    2,328.94x = 4,493,239.42
  5. Step 5: Solve for x
    x = 4,493,239.42/2,328.94
  6. Step 6: Final answer
    x = 1,929.31

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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.