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Finding the Fourth Proportional to 1,436.49, 1,983.02 and 1,017.18

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Solution

The fourth proportional to 1,436.49, 1,983.02 and 1,017.18 is: 1,404.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,436.49 : 1,983.02 = 1,017.18 : x
  2. Step 2: Convert to fraction form
    1,436.49/1,983.02 = 1,017.18/x
  3. Step 3: Cross multiply
    1,436.49x = 1,983.02 × 1,017.18
  4. Step 4: Simplify right side
    1,436.49x = 2,017,088.28
  5. Step 5: Solve for x
    x = 2,017,088.28/1,436.49
  6. Step 6: Final answer
    x = 1,404.18

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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.