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Finding the Fourth Proportional to 4,524.67, 6,787.74 and 1,602.34

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Solution

The fourth proportional to 4,524.67, 6,787.74 and 1,602.34 is: 2,403.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,524.67 : 6,787.74 = 1,602.34 : x
  2. Step 2: Convert to fraction form
    4,524.67/6,787.74 = 1,602.34/x
  3. Step 3: Cross multiply
    4,524.67x = 6,787.74 × 1,602.34
  4. Step 4: Simplify right side
    4,524.67x = 10,876,267.31
  5. Step 5: Solve for x
    x = 10,876,267.31/4,524.67
  6. Step 6: Final answer
    x = 2,403.77

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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.