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Finding the Fourth Proportional to 1,380.60, 1,902.96 and 1,084.68

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Solution

The fourth proportional to 1,380.60, 1,902.96 and 1,084.68 is: 1,495.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,380.60 : 1,902.96 = 1,084.68 : x
  2. Step 2: Convert to fraction form
    1,380.60/1,902.96 = 1,084.68/x
  3. Step 3: Cross multiply
    1,380.60x = 1,902.96 × 1,084.68
  4. Step 4: Simplify right side
    1,380.60x = 2,064,102.65
  5. Step 5: Solve for x
    x = 2,064,102.65/1,380.60
  6. Step 6: Final answer
    x = 1,495.08

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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.