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Finding the Fourth Proportional to 1,397.80, 1,928.64 and 873.46

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Solution

The fourth proportional to 1,397.80, 1,928.64 and 873.46 is: 1,205.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,397.80 : 1,928.64 = 873.46 : x
  2. Step 2: Convert to fraction form
    1,397.80/1,928.64 = 873.46/x
  3. Step 3: Cross multiply
    1,397.80x = 1,928.64 × 873.46
  4. Step 4: Simplify right side
    1,397.80x = 1,684,589.89
  5. Step 5: Solve for x
    x = 1,684,589.89/1,397.80
  6. Step 6: Final answer
    x = 1,205.17

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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.