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Finding the Fourth Proportional to 1,436.93, 1,983.53 and 1,017.89

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Solution

The fourth proportional to 1,436.93, 1,983.53 and 1,017.89 is: 1,405.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,436.93 : 1,983.53 = 1,017.89 : x
  2. Step 2: Convert to fraction form
    1,436.93/1,983.53 = 1,017.89/x
  3. Step 3: Cross multiply
    1,436.93x = 1,983.53 × 1,017.89
  4. Step 4: Simplify right side
    1,436.93x = 2,019,010.26
  5. Step 5: Solve for x
    x = 2,019,010.26/1,436.93
  6. Step 6: Final answer
    x = 1,405.09

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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.