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Finding the Fourth Proportional to 1,624.29, 2,436.94 and 894.38

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Solution

The fourth proportional to 1,624.29, 2,436.94 and 894.38 is: 1,341.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,624.29 : 2,436.94 = 894.38 : x
  2. Step 2: Convert to fraction form
    1,624.29/2,436.94 = 894.38/x
  3. Step 3: Cross multiply
    1,624.29x = 2,436.94 × 894.38
  4. Step 4: Simplify right side
    1,624.29x = 2,179,539.33
  5. Step 5: Solve for x
    x = 2,179,539.33/1,624.29
  6. Step 6: Final answer
    x = 1,341.84

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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.