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Finding the Fourth Proportional to 1,787.60, 2,467.32 and 1,394.48

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Solution

The fourth proportional to 1,787.60, 2,467.32 and 1,394.48 is: 1,924.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,787.60 : 2,467.32 = 1,394.48 : x
  2. Step 2: Convert to fraction form
    1,787.60/2,467.32 = 1,394.48/x
  3. Step 3: Cross multiply
    1,787.60x = 2,467.32 × 1,394.48
  4. Step 4: Simplify right side
    1,787.60x = 3,440,628.39
  5. Step 5: Solve for x
    x = 3,440,628.39/1,787.60
  6. Step 6: Final answer
    x = 1,924.72

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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.