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Finding the Fourth Proportional to 1,436.84, 1,983.78 and 1,104.68

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Solution

The fourth proportional to 1,436.84, 1,983.78 and 1,104.68 is: 1,525.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,436.84 : 1,983.78 = 1,104.68 : x
  2. Step 2: Convert to fraction form
    1,436.84/1,983.78 = 1,104.68/x
  3. Step 3: Cross multiply
    1,436.84x = 1,983.78 × 1,104.68
  4. Step 4: Simplify right side
    1,436.84x = 2,191,442.09
  5. Step 5: Solve for x
    x = 2,191,442.09/1,436.84
  6. Step 6: Final answer
    x = 1,525.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.