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Finding the Fourth Proportional to 2,323.15, 3,478.15 and 2,104.18

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Solution

The fourth proportional to 2,323.15, 3,478.15 and 2,104.18 is: 3,150.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,323.15 : 3,478.15 = 2,104.18 : x
  2. Step 2: Convert to fraction form
    2,323.15/3,478.15 = 2,104.18/x
  3. Step 3: Cross multiply
    2,323.15x = 3,478.15 × 2,104.18
  4. Step 4: Simplify right side
    2,323.15x = 7,318,653.67
  5. Step 5: Solve for x
    x = 7,318,653.67/2,323.15
  6. Step 6: Final answer
    x = 3,150.31

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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.