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Finding the Fourth Proportional to 1,623.28, 2,436.00 and 597.28

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Solution

The fourth proportional to 1,623.28, 2,436.00 and 597.28 is: 896.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,623.28 : 2,436.00 = 597.28 : x
  2. Step 2: Convert to fraction form
    1,623.28/2,436.00 = 597.28/x
  3. Step 3: Cross multiply
    1,623.28x = 2,436.00 × 597.28
  4. Step 4: Simplify right side
    1,623.28x = 1,454,981.66
  5. Step 5: Solve for x
    x = 1,454,981.66/1,623.28
  6. Step 6: Final answer
    x = 896.32

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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.