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Finding the Fourth Proportional to 3,323.64, 4,586.49 and 2,145.90

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Solution

The fourth proportional to 3,323.64, 4,586.49 and 2,145.90 is: 2,961.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,323.64 : 4,586.49 = 2,145.90 : x
  2. Step 2: Convert to fraction form
    3,323.64/4,586.49 = 2,145.90/x
  3. Step 3: Cross multiply
    3,323.64x = 4,586.49 × 2,145.90
  4. Step 4: Simplify right side
    3,323.64x = 9,842,148.89
  5. Step 5: Solve for x
    x = 9,842,148.89/3,323.64
  6. Step 6: Final answer
    x = 2,961.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.