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Finding the Fourth Proportional to 1,436.59, 1,981.41 and 912.79

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Solution

The fourth proportional to 1,436.59, 1,981.41 and 912.79 is: 1,258.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,436.59 : 1,981.41 = 912.79 : x
  2. Step 2: Convert to fraction form
    1,436.59/1,981.41 = 912.79/x
  3. Step 3: Cross multiply
    1,436.59x = 1,981.41 × 912.79
  4. Step 4: Simplify right side
    1,436.59x = 1,808,611.23
  5. Step 5: Solve for x
    x = 1,808,611.23/1,436.59
  6. Step 6: Final answer
    x = 1,258.96

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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.