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Finding the Fourth Proportional to 1,436.70, 1,981.41 and 1,290.90

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Solution

The fourth proportional to 1,436.70, 1,981.41 and 1,290.90 is: 1,780.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,436.70 : 1,981.41 = 1,290.90 : x
  2. Step 2: Convert to fraction form
    1,436.70/1,981.41 = 1,290.90/x
  3. Step 3: Cross multiply
    1,436.70x = 1,981.41 × 1,290.90
  4. Step 4: Simplify right side
    1,436.70x = 2,557,812.02
  5. Step 5: Solve for x
    x = 2,557,812.02/1,436.70
  6. Step 6: Final answer
    x = 1,780.33

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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.