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Finding the Fourth Proportional to 1,380.14, 2,065.38 and 990.58

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Solution

The fourth proportional to 1,380.14, 2,065.38 and 990.58 is: 1,482.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,380.14 : 2,065.38 = 990.58 : x
  2. Step 2: Convert to fraction form
    1,380.14/2,065.38 = 990.58/x
  3. Step 3: Cross multiply
    1,380.14x = 2,065.38 × 990.58
  4. Step 4: Simplify right side
    1,380.14x = 2,045,924.12
  5. Step 5: Solve for x
    x = 2,045,924.12/1,380.14
  6. Step 6: Final answer
    x = 1,482.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.