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Finding the Fourth Proportional to 1,436.80, 2,153.80 and 615.28

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Solution

The fourth proportional to 1,436.80, 2,153.80 and 615.28 is: 922.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,436.80 : 2,153.80 = 615.28 : x
  2. Step 2: Convert to fraction form
    1,436.80/2,153.80 = 615.28/x
  3. Step 3: Cross multiply
    1,436.80x = 2,153.80 × 615.28
  4. Step 4: Simplify right side
    1,436.80x = 1,325,190.06
  5. Step 5: Solve for x
    x = 1,325,190.06/1,436.80
  6. Step 6: Final answer
    x = 922.32

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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.