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Finding the Fourth Proportional to 3,113.99, 4,297.40 and 1,787.96

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Solution

The fourth proportional to 3,113.99, 4,297.40 and 1,787.96 is: 2,467.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,113.99 : 4,297.40 = 1,787.96 : x
  2. Step 2: Convert to fraction form
    3,113.99/4,297.40 = 1,787.96/x
  3. Step 3: Cross multiply
    3,113.99x = 4,297.40 × 1,787.96
  4. Step 4: Simplify right side
    3,113.99x = 7,683,579.30
  5. Step 5: Solve for x
    x = 7,683,579.30/3,113.99
  6. Step 6: Final answer
    x = 2,467.44

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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.