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Finding the Fourth Proportional to 1,376.36, 2,065.44 and 914.64

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Solution

The fourth proportional to 1,376.36, 2,065.44 and 914.64 is: 1,372.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,376.36 : 2,065.44 = 914.64 : x
  2. Step 2: Convert to fraction form
    1,376.36/2,065.44 = 914.64/x
  3. Step 3: Cross multiply
    1,376.36x = 2,065.44 × 914.64
  4. Step 4: Simplify right side
    1,376.36x = 1,889,134.04
  5. Step 5: Solve for x
    x = 1,889,134.04/1,376.36
  6. Step 6: Final answer
    x = 1,372.56

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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.