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Finding the Fourth Proportional to 2,326.67, 3,490.58 and 1,157.23

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Solution

The fourth proportional to 2,326.67, 3,490.58 and 1,157.23 is: 1,736.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,326.67 : 3,490.58 = 1,157.23 : x
  2. Step 2: Convert to fraction form
    2,326.67/3,490.58 = 1,157.23/x
  3. Step 3: Cross multiply
    2,326.67x = 3,490.58 × 1,157.23
  4. Step 4: Simplify right side
    2,326.67x = 4,039,406.79
  5. Step 5: Solve for x
    x = 4,039,406.79/2,326.67
  6. Step 6: Final answer
    x = 1,736.13

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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.