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Finding the Fourth Proportional to 1,625.73, 2,436.89 and 802.31

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Solution

The fourth proportional to 1,625.73, 2,436.89 and 802.31 is: 1,202.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,625.73 : 2,436.89 = 802.31 : x
  2. Step 2: Convert to fraction form
    1,625.73/2,436.89 = 802.31/x
  3. Step 3: Cross multiply
    1,625.73x = 2,436.89 × 802.31
  4. Step 4: Simplify right side
    1,625.73x = 1,955,125.02
  5. Step 5: Solve for x
    x = 1,955,125.02/1,625.73
  6. Step 6: Final answer
    x = 1,202.61

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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.