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Finding the Fourth Proportional to 2,264.40, 3,396.60 and 621.09

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Solution

The fourth proportional to 2,264.40, 3,396.60 and 621.09 is: 931.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,264.40 : 3,396.60 = 621.09 : x
  2. Step 2: Convert to fraction form
    2,264.40/3,396.60 = 621.09/x
  3. Step 3: Cross multiply
    2,264.40x = 3,396.60 × 621.09
  4. Step 4: Simplify right side
    2,264.40x = 2,109,594.29
  5. Step 5: Solve for x
    x = 2,109,594.29/2,264.40
  6. Step 6: Final answer
    x = 931.64

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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.