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Finding the Fourth Proportional to 2,391.15, 3,584.70 and 931.32

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Solution

The fourth proportional to 2,391.15, 3,584.70 and 931.32 is: 1,396.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,391.15 : 3,584.70 = 931.32 : x
  2. Step 2: Convert to fraction form
    2,391.15/3,584.70 = 931.32/x
  3. Step 3: Cross multiply
    2,391.15x = 3,584.70 × 931.32
  4. Step 4: Simplify right side
    2,391.15x = 3,338,502.80
  5. Step 5: Solve for x
    x = 3,338,502.80/2,391.15
  6. Step 6: Final answer
    x = 1,396.19

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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.