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Finding the Fourth Proportional to 1,914.64, 2,641.68 and 1,325.44

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Solution

The fourth proportional to 1,914.64, 2,641.68 and 1,325.44 is: 1,828.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,914.64 : 2,641.68 = 1,325.44 : x
  2. Step 2: Convert to fraction form
    1,914.64/2,641.68 = 1,325.44/x
  3. Step 3: Cross multiply
    1,914.64x = 2,641.68 × 1,325.44
  4. Step 4: Simplify right side
    1,914.64x = 3,501,388.34
  5. Step 5: Solve for x
    x = 3,501,388.34/1,914.64
  6. Step 6: Final answer
    x = 1,828.75

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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.