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Finding the Fourth Proportional to 3,046.68, 4,204.44 and 1,787.67

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Solution

The fourth proportional to 3,046.68, 4,204.44 and 1,787.67 is: 2,467.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,046.68 : 4,204.44 = 1,787.67 : x
  2. Step 2: Convert to fraction form
    3,046.68/4,204.44 = 1,787.67/x
  3. Step 3: Cross multiply
    3,046.68x = 4,204.44 × 1,787.67
  4. Step 4: Simplify right side
    3,046.68x = 7,516,151.25
  5. Step 5: Solve for x
    x = 7,516,151.25/3,046.68
  6. Step 6: Final answer
    x = 2,467.00

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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.