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Finding the Fourth Proportional to 1,787.75, 2,682.40 and 965.06

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Solution

The fourth proportional to 1,787.75, 2,682.40 and 965.06 is: 1,448.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,787.75 : 2,682.40 = 965.06 : x
  2. Step 2: Convert to fraction form
    1,787.75/2,682.40 = 965.06/x
  3. Step 3: Cross multiply
    1,787.75x = 2,682.40 × 965.06
  4. Step 4: Simplify right side
    1,787.75x = 2,588,688.08
  5. Step 5: Solve for x
    x = 2,588,688.08/1,787.75
  6. Step 6: Final answer
    x = 1,448.01

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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.