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Finding the Fourth Proportional to 2,326.74, 3,490.32 and 683.30

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Solution

The fourth proportional to 2,326.74, 3,490.32 and 683.30 is: 1,025.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,326.74 : 3,490.32 = 683.30 : x
  2. Step 2: Convert to fraction form
    2,326.74/3,490.32 = 683.30/x
  3. Step 3: Cross multiply
    2,326.74x = 3,490.32 × 683.30
  4. Step 4: Simplify right side
    2,326.74x = 2,384,935.66
  5. Step 5: Solve for x
    x = 2,384,935.66/2,326.74
  6. Step 6: Final answer
    x = 1,025.01

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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.